M7 Inves #8 Probability, Chance and Odds

M7 Investigation #8

Probability, Chance and Odds

By natalie richardson

Probability

Recall that Probability is the ratio of favorable outcomes to possible outcomes.

#favorable outcomes

#possible outcomes​​

Probability

• If we spin the spinner, the probability that it stops on 1 is 1/4.

• We can express the probability as ¼ or 0.25 or 25%.

• The COMPLEMENT of this event is the spinner not stopping on 1.

• This probability is ¾ or 0.75 or 75%.

Multiple Select

What is the probability of the spinner landing on 3. Select all that apply.

• 1/4

• 25%

• .3

• .25

Multiple Select

What is the probability of the complement of the spinner landing on 4. Select all that apply.

• 1/4

• 25%

• .75

• .25

Odds

• Another way to express the likelihood of an event is as ODDS.

• The ODDS is the ratio of favorable to unfavorable outcomes.

#favorable outcomes

#unfavorable outcomes​​

Odds

• If we spin the spinner, the odds that it stops on 1 are 1 to 3.

• We can express the odds as 1 to 3 or 1:3.

• Odds express the relationship between an event and its complement.

• Although we do not write odds as a fraction, we always reduce the relationship.

Multiple Select

What are the oddes the spinner will land on 4? Select all that apply.

• 1:4

• 2:6

• 1:3

• 1 to 3

Chance

• Probability can be expressed as a fraction, decimal or percent.

• We use the word CHANCE when expressing probability in percent form.

• What is the chance of the spinner stopping on 2?​

Multiple Choice

What is the chance the spinner will not land on 4?

• .75

• 75%

• 3 to 1

• 1 to 3

Multiple Choice

The weather forecast stated that the chance of rain is 40%. What is the chance that it will not rain?

• 40%

• 0.6

• 60%

• 50%

• What is the probability of picking blue?

• What is the probability of not picking blue?

• What are the odds of picking blue?

​One marble is drawn from a bag containing 3 red marbles, 4 white marbles, and 5 blue marbles.

Probability and Odds

• What is the probability of picking red?

• What is the probability of not picking red?

• What are the odds of picking red?

​One marble is drawn from a bag containing 3 red marbles, 4 white marbles, and 5 blue marbles.

Probability and Odds

Multiple Choice

One marble is drawn from a bag containing 3 red, 4 white and 5 blue marbles.

What is the probability of picking a white marble?

• 7/12

• 1/2

• 4/12

• 1/3

Multiple Choice

One marble is drawn from a bag containing 3 red, 4 white and 5 blue marbles.

What is the probability of not picking a white marble?

• 8/12

• 1/2

• 2/3

• 3/4

Multiple Choice

One marble is drawn from a bag containing 3 red, 4 white and 5 blue marbles.

What are the odds of picking a white marble?

• 4:8

• 1 to 2

• 4 to 12

• 1/3

Multiple Choice

One marble is drawn from a bag containing 3 red, 4 white and 5 blue marbles.

What is the chance of not picking a red marble?

• 75%

• 1/4

• 25%

• 3/4

Poll

A meteorologist forecast the chance of rain as 20%

According to the forecast, what is the chance that it will not rain?

• 20%

• 80%

• 50%

• You can never know about rain

Poll

A meteorologist forecast the chance of rain as 20%

According to the forecast, what are the odds of rain?

• 20 to 80

• 1 to 5

• 1 to 4

• 20 to 100

• For example, “getting heads twice” with two flips of a coin is a compound event.

• A compound event is composed of two or more simple events.

Compound Events

​To find the probability of two or more events occurring in a specific order, we multiply the probabilities of the events.

Compound Events

Open Ended

A die is rolled and a coin is tossed.

What is the sample space for this experiment?

Multiple Choice

What is the probability of tossing a coin and rolling a die and getting TAILS and a 6?

• 1/12

• 1/5

• 1/6

• 1/2

Multiple Choice

What are the odds of tossing a coin and rolling a die and getting TAILS and a 6?

• 1 to 2

• 1 to 11

• 1 to 10

• 1 to 12

Multiple Choice

What is the probability of tossing a coin and rolling a die and getting HEADS and an odd number?

• 1/12

• 1/5

• 1/6

• 1/4

Open Ended

A coin is tossed and a spinner is spun.

What is the sample space for this experiment?

Multiple Choice

A coin is tossed and a spinner is spun.

What is the probability of getting TAILS and GREEN?

• 1/4

• 1/2

• 1/8

• 1/3

Multiple Choice

A coin is tossed and a spinner is spun.

What are the odds of getting TAILS and GREEN?

• 1 to 2

• 1 to 6

• 1 to 8

• 1 to 7

Multiple Choice

A coin is tossed and a spinner is spun.

What is the probability of getting HEADS and RED or ORANGE?

• 1/4

• 1/2

• 1/8

• 1/3

Multiple Choice

A coin is tossed and a spinner is spun.

What are the odds of getting HEADS and RED or ORANGE?

• 1 to 1

• 1 to 3

• 1 to 2

• 1 to 4

Open Ended

A die is rolled and a spinner is spun.

What is the sample space for this experiment?

Multiple Choice

A die is rolled and a spinner is spun.

What is the probability of getting BLUE and 2?

• 1/4

• 1/12

• 1/24

• 1/8

Multiple Choice

A die is rolled and a spinner is spun.

What are the odds of getting BLUE and 2?

• 1 to 24

• 1 to 12

• 1 to 23

• 1 to 8

Multiple Choice

A die is rolled and a spinner is spun.

What is the probability of getting ORANGE and 1, 2, OR 3?

• 1/4

• 1/12

• 1/24

• 1/8

Multiple Choice

A die is rolled and a spinner is spun.

What are the odds of getting ORANGE and 1, 2, OR 3?

• 1 to 8

• 1 to 12

• 1 to 7

• 1 to 23

Multiple Choice

A coin is flipped and a spinner is spun.

What is the probability of getting heads and not spinning blue?

• 1/8

• 1/2

• 1/4

• 3/8

Multiple Choice

A coin is flipped and a spinner is spun.

What are the odds of getting heads and not spinning blue?

• 3 to 5

• 1 to 2

• 1 to 8

• 3 to 8

Multiple Choice

A coin is flipped three times.

What is the probability of getting heads all three times?

• 1/2

• 1/4

• 1/6

• 1/8

Multiple Choice

A coin is flipped three times.

What are the odds of getting heads all three times?

• 1 to 8

• 1 to 12

• 1 to 7

• 1 to 23

Multiple Choice

A die is rolled two times.

What is the probability of getting 6 both times?

• 1/6

• 1/5

• 1/12

• 1/36

Multiple Choice

A die is rolled two times.

What are the odds of getting 6 both times?

• 1 to 5

• 1 to 6

• 1 to 35

• 1 to 23

Multiple Choice

A coin is flipped and a spinner is spun.

What is the chance of getting heads and yellow?

• 50%

• 10%

• 0%

• 100%

Multiple Choice

The probability of selecting a heart by drawing one card from a normal deck of cards is 0.25. What is the chance that a card drawn is a heart?

• 25%

• 75%

• 1/4

• 50%

Multiple Choice

The probability of selecting a heart by drawing one card from a normal deck of cards is 0.25. What is the chance that a card drawn is not a heart?

• 1/52

• 75%

• 25%

• 50%