Unit 11 Review; Probability

Unit 11 Review - Probabilty

Lesson objectives;

• Understand probability as a measure of chance

• Define the terms sample space, outcome, and event

• List the sample space for a simple chance situation

• Find the probability of a single event

Multiple Choice

Define probability

• The chance that something will occur

• The likelihood of something happening

• The odds of an event happening

• All of these are correct

Multiple Choice

TRUE of FALSE;

Probability can be represented on a scale of 0 - 1

Where;

0 means most unlikely / impossible / cannot happen

and

1 means 'will happen for sure / is certain'

• TRUE

• FALSE

Multiple Choice

If an event is most unlikely (no chance) to happen, its probability is;

• 0

• 0.5

• 1

Multiple Choice

If an event is equally likely to happen or not, "50-50", its probability is;

• 0

• 0.5

• 1

Multiple Choice

If an event is most certainly going to happen, its probability is;

• 0

• 0.5

• 1

Multiple Choice

What is the chance/likelihood that this event will happen?

Event; "I will be late to school tomorrow"

Hint; It may or may not happen

• 0

• 0.5

• 1

Multiple Choice

What is the chance/likelihood that this event will happen?

Event; "Sarah's first born child will be a boy"

Hint; It may or may not happen

• 0

• 0.5

• 1

Multiple Choice

What is the chance/likelihood that this event will happen?

Event; "It will snow in Kampala tomorrow"

Hint; be real

• 0

• 0.5

• 1

Multiple Choice

What is the chance/likelihood that this event will happen?

Event; "A pig will fly past a window"

Hint; be real

• 0

• 0.5

• 1

Multiple Choice

What is the chance/likelihood that this event will happen?

Event; "The sun will rise tomorrow"

Hint; be real

• 0

• 0.5

• 1

Multiple Choice

What is the chance/likelihood that this event will happen?

Event; "The trees will walk tomorrow"

Hint; be real

• 0

• 0.5

• 1

Multiple Choice

What is the chance/likelihood that this event will happen?

Event; "U 16 boys will win the volleyball finals on Saturday"

• 0

• 0.5

• 1

Poll

What is the chance/likelihood that this event will happen?

Event; "Levi will be a famous goal keeper"

• 0

• 0.5

• 1

Poll

What is the chance/likelihood that this event will happen?

Event; "Shreeya will be a famous youtuber"

• 0

• 0.5

• 1

Multiple Choice

Define these terms as used in probability;

Random experiment

• ...the result cannot be predicted with certainty

• ..the result of an experiment

• ..all the possible outcomes of an experiment

• ..the experiment that is being observed / perfomed

Multiple Choice

Define these terms as used in probability;

Outcome

• ...the result cannot be predicted with certainty

• ..the result of an experiment

• ..all the possible outcomes of an experiment

• ..the experiment that is being observed / perfomed

Multiple Choice

Define these terms as used in probability;

Sample space

• ...the result cannot be predicted with certainty

• ..the result of an experiment

• ..all the possible outcomes of an experiment

• ..the experiment that is being observed / perfomed

Multiple Choice

Define these terms as used in probability;

Event

• ...the result cannot be predicted with certainty

• ..the result of an experiment

• ..all the possible outcomes of an experiment

• ..a collection of desired outcomes

Multiple Choice

Tell the number of all possible outcomes from each of the following random experiments / events.

Tossing a coin

• 0

• 1

• 2

Multiple Choice

Tell the number of all possible outcomes from each of the following random experiments / events.

Tossing two coins

• 1

• 2

• 3

• 4

Multiple Choice

Tell the number of all possible outcomes from each of the following random experiments / events.

Tossing a die

• 0

• 3

• 2

• 4

• 6

Multiple Choice

Tell the number of all possible outcomes from each of the following random experiments / events.

Tossing two die

• 4

• 36

• 6

• 12

Multiple Choice

Tell the number of all possible outcomes from each of the following random experiments / events.

Selecting a girl from 8A

(There are 10 girls total)

• 1

• 10

Multiple Choice

A coin is fair or unbiased when;

• the chance of getting heads is higher than the chance of getting tails

• the chance of getting heads is the same as the chance of getting tails

• the chance of getting heads is lower than the chance of getting tails

• the chance of getting heads is not equal to the chance of getting tails

Multiple Choice

TRUE or FALSE

In a fair coin, 'getting a head' and 'getting a tail' are equally likely outcomes

• TRUE

• FALSE

Multiple Choice

TRUE or FALSE

When a fair die is tossed,

• All faces are equally likely to appear

• Even numbers are more likely to appear

• The visible face is more likely to appear

• Odd numbers are equally likely to appear

Multiple Choice

Probability an also be defined as;

• the measure of how likely an event will take place

• The number of all possible outcomes

• The total number of events

• The size of the sample space

Multiple Choice

Lamiek wants to find the probability of picking a purple marble in a bag full of red, green and blue marbles. Which word describes this probability?

• certain

• impossible

• likely

• unlikely

Multiple Choice

Probability is ...

• the chance that some event will occur.

• a game that involves coins.

• a guarantee.

Multiple Choice

Probability can be written as ...

• a fraction

• a decimal

• a percent

• all of the above

Multiple Choice

What is the probability of flipping a coin and getting heads?

• 1/2

• 1/3

• 1/4

• Never, Tails never fails.

Multiple Choice

Experimental Probability is:

• What Will happen 

• What actually happens

• What should happen

• What I think Happens

Multiple Choice

Theoretical Probability is?

• What Should happen

• What does happen

• What Will Happen

• What I want to Happen

Multiple Choice

How do we calculate probability

• P(E) = (number of desired outcomes) ÷ (Total number of possible outcomes)

• P(E) = (Total number of possible outcomes) ÷ (number of desired outcomes)

• P(E) = (number of desired outcomes) + (Total number of possible outcomes)

• P(E) = (number of desired outcomes) - (Total number of possible outcomes)

Multiple Choice

How do we calculate probability?

• P(E) = n(E) / n(S)

• P(E) = n(S) / n(E)

• P(E) = n(E) + n(S)

• P(E) = n(E) - n(S)

Multiple Choice

What is the probability of flipping a coin and getting heads?

• 1/2

• 1/3

• 1/4

• Never, Tails never fails.

Multiple Choice

A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?

• 3/10

• 3/9

• 1/9

• 1/3

Multiple Choice

The probability of it raining today is 30%.  What is the probability that it will NOT rain?

• 30%

• 70%

• 100%

• 0%

Multiple Choice

Which shows the sample space for flipping two coins?

• H, T

• HH, HT, TH, TT

• HH, TT

• Dime, Nickel

Multiple Choice

What is the probability of pulling a red marble out of a jar of marbles that have 10 green marbles, 7 red marbles and 3 blue marbles?

• 1/7

• 7/20

• 7/10

• 3/10

Multiple Choice

If you were to roll the die one time what is the probability of it landing on a 2?

• 2 out of 6

• 2 out of 2

• 1 out of 6

• 1 out of 1

Multiple Choice

What is sample space?

• a process with an uncertain result

• a possible result of an action

• a list of all possible outcomes of an event

• a single outcome or group of outcomes

Multiple Choice

What is the probability of rolling 15 with a pair of dice?

• impossible

• unlikely

• equally likely

• likely

Multiple Choice

What is the probability of rolling an even number on a die?

• impossible

• unlikely

• equally likely

• likely

Multiple Choice

The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown.
What is the probability of selecting a brown candy?

• 2/18

• 1/9

• 2/20

• 1/10

Multiple Choice

What is the probability of spinning an even number?

• 16 2/3%

• 33 1/3%

• 50%

• 75%

Multiple Choice

Find the probability of rolling a 7 on a single die.

• 1/6

• 7/6

• 0

• 7/7

Multiple Choice

What is the probability of spinning green?

• 0

• 1/4

• 1/2

• 3/4

Multiple Choice

Based on the chart, what is the probability of pulling a green marble?

• 1/8

• 8/25

• 8/100

• 7/8

Multiple Choice

A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?

• 5/6

• 1/2

• 1/3

• 1/6

Multiple Choice

A box contains 3 black pens, 7 blue pens, and 5 red pens. Without looking, P(red or black)

• 8/15

• 15/225

• 5/15

• 3/15

Multiple Choice

If you spin the spinner 90 times, how many times should the number 3 be selected?

• 9

• 15

• 16

• 30

Multiple Choice

Look at the dartboard. 
A boy is playing darts with his friends. What is the probability that his dart will land in an unshaded square?

• 12/25

• 13/25

• 10/25

• 11/25

Multiple Choice

There are 4 blue marbles, 5 red marbles, 1 green marble and 2 black marbles in a box. Suppose you select one marble at random. What is the probability that the marble chosen is blue? 

• $$\frac{1}{2}$$  

• $$\frac{1}{3}$$  

• $$\frac{2}{3}$$  

• $$\frac{1}{4}$$  

Multiple Choice

There are 4 blue marbles, 5 red marbles, 1 green marble and 2 black marbles in a box. Suppose you select one marble at random. What is the probability that the marble chosen is red? 

• $$41.67\%$$  

• $$50\ \%$$

• $$8.33\%$$  

• $$33.33\%$$  

Multiple Choice

Sam rolled a number cube 50 times. A '3' appeared 10 times. Find the probability of getting '3'.

• $$\frac{10}{50}$$  

• $$\frac{20}{50}$$  

• $$\frac{40}{50}$$  

• $$\frac{30}{50}$$  

Multiple Choice

A coin is tossed 60 times. 27 times head appeared. Find the probability of getting heads.

• $$55\%$$  

• $$45\%$$  

• $$0\%$$  

• $$48\%$$  

Multiple Choice

A coin is tossed 60 times. 27 times head appeared. Find the probability of getting tail.

• $$55\%$$  

• $$45\%$$  

• $$0\%$$  

• $$48\%$$  

Multiple Choice

The given table relates cause of death and whether the deceased was a smoker. What is the probability that the deceased individual:

Was a smoker?

• P(Smoker) = $$\frac{7}{20}$$

• P(Smoker) = $$\frac{135}{650}$$

• P(Smoker) = $$\frac{93}{200}$$

• P(Smoker) = $$\frac{13}{20}$$

Multiple Choice

The given table relates cause of death and whether the deceased was a smoker. What is the probability that the deceased individual:

Died of Heart Disease

• P(Heart Disease) = $$\frac{7}{20}$$

• P(Heart Disease) = $$\frac{135}{650}$$

• P(Heart Disease) = $$\frac{93}{200}$$

• P(Heart Disease) = $$\frac{13}{20}$$

Multiple Choice

The given table relates cause of death and whether the deceased was a smoker. What is the probability that the deceased individual:

Died of Heart Disease and was a smoker

• P(Heart Disease and Smoker) = $$\frac{31}{200}$$

• P(Heart Disease and Smoker) = $$\frac{31}{100}$$

• P(Heart Disease and Smoker) = $$\frac{31}{65}$$

• P(Heart Disease and Smoker) = $$\frac{2}{3}$$

Multiple Choice

The given table relates cause of death and whether the deceased was a smoker. What is the probability that the deceased individual:

Died of Heart Disease given they were a smoker?

• P(Heart Disease | Smoker) = $$\frac{31}{200}$$

• P(Heart Disease | Smoker) = $$\frac{31}{100}$$

• P(Heart Disease | Smoker) = $$\frac{31}{65}$$

• P(Heart Disease | Smoker) = $$\frac{2}{3}$$

Multiple Choice

The given table relates cause of death and whether the deceased was a smoker. What is the probability that the deceased individual:

Were a Smoker given they died of Heart Disease?

• P(Smoker | Heart Disease) = $$\frac{31}{200}$$

• P(Smoker | Heart Disease) = $$\frac{31}{100}$$

• P(Smoker | Heart Disease) = $$\frac{31}{65}$$

• P(Smoker | Heart Disease) = $$\frac{2}{3}$$

Multiple Choice

The given table relates cause of death and whether the deceased was a smoker. What is the probability that the deceased individual:

Were a Non-smoker and they died of Cancer?

• P(Non-Smoker and Cancer) = $$\frac{11}{200}$$

• P(Non-Smoker and Cancer) = $$\frac{11}{38}$$

• P(Non-Smoker and Cancer) = $$\frac{11}{70}$$

• P(Non-Smoker and Cancer) = $$\frac{27}{200}$$

Multiple Choice

The given table relates cause of death and whether the deceased was a smoker. What is the probability that the deceased individual:

Were a smoker or they died of Cancer?

• P(Non-Smoker or Cancer) = $$\frac{141}{200}$$

• P(Non-Smoker or Cancer) = $$\frac{11}{70}$$

• P(Non-Smoker or Cancer) = $$\frac{27}{130}$$

• P(Non-Smoker or Cancer) = $$\frac{21}{25}$$

Multiple Choice

The given table relates cause of death and whether the deceased was a smoker. What is the probability that the deceased individual:

Died of Cancer given they were a non-smoker

• P(Cancer | Non-smoker) = $$\frac{141}{200}$$

• P(Cancer | Non-smoker) = $$\frac{11}{70}$$

• P(Cancer | Non-smoker) = $$\frac{27}{130}$$

• P(Cancer | Non-smoker) = $$\frac{21}{25}$$

Multiple Choice

The given table relates cause of death and whether the deceased was a smoker. What is the probability that the deceased individual:

Died of Cancer given they were a smoker

• P(Cancer | smoker) = $$\frac{141}{200}$$

• P(Cancer | smoker) = $$\frac{11}{70}$$

• P(Cancer | smoker) = $$\frac{27}{130}$$

• P(Cancer | smoker) = $$\frac{21}{25}$$

Multiple Choice

Out of the 89 people surveyed, what probability of people played only soccer?

• 0.11

• 0.16

• 0.04

• 0.22

Multiple Choice

What statement does the shaded region represent

• A U B

• A'

• A ∩ B

• B'

Multiple Choice

What is the probability that a person chosen at random speaks a foreign language and plays a sport?

• 23/26

• 14/23

• 7/25

• 7/13

Multiple Choice

What is the probability that a person chosen at random does not speak a foreign language?

• 23/26

• 13/50

• 7/25

• 7/13

Multiple Choice

What is the probability that a person chosen at random does not play a sport?

• 13/25

• 13/50

• 7/25

• 7/13

Multiple Choice

What is the probability that a person chosen at random does not speak a foreign language and does not play a sport?

• 13/25

• 3/50

• 7/25

• 7/13

Multiple Choice

What is the probability that a student scored above 80%?

• 10/19

• 13/19

• 7/19

• 15/19

Multiple Choice

What is the probability that a student scored less less than 80%?

• 10/19

• 13/19

• 6/19

• 15/19

Multiple Choice

What is the probability that a student got score between 25-35

• 5/31

• 5/30

• 4/31

• 11/35

Multiple Choice

What is the probability that someone exercised 5 hours a week

• 1/3

• 9/15

• 4/15

• 6/15