Find Likelihoods

Chapter 7 Test Review

Describing likelihood

• 0, 0% chance of happening, the event is impossible.

• 1/4, 0.25, 25% chance of happening, the event is unlikely.

• 1/2, 0.5, 50% chance of happening, the event is equally likely.

• 3/4, 0.75, 75% chance of happening it is likely.

• 1, 100% chance of happening it is certain.

Multiple Choice

Describe the likelihood of rolling a 5 on a number cube.

• Impossible

• Unlikely

• Equally likely

• Likely

• Certain

Multiple Choice

Describe the likelihood of randomly choosing a yellow or a red marble.

• Impossible

• Unlikely

• Equally likely

• Likely

• Certain

Multiple Choice

Describe the likelihood of spinning 12 on the spinner.

• Impossible

• Unlikely

• Equally likely

• Likely

• Certain

Multiple Choice

Describe the likelihood of spinning red on the spinner.

• Impossible

• Unlikely

• Equally likely

• Likely

• Certain

Simple Probability

• Ratio of favorable outcomes to total outcomes.

• Could be written as a fraction, a decimal, or a percent.

Multiple Choice

Find the probability of spinning yellow. Write your answer as a fraction, a decimal, and a percent.

• 1/5, 0.2, 20%

• 1/5, 2, 200%

• 1/5, 0.2, 2%

• 1/5, 0.2, 0.2%

Multiple Choice

Find the probability of spinning not blue. Write your answer as a fraction, a decimal, and a percent.

• 1/5, 0.2, 20%

• 1/5, 0.2, 2%

• 4/5, 0.8, 80%

• 4/5, 0.8, 8%

Multiple Choice

Find the probability of rolling a 4 on the number cube. Write your answer as a fraction, a decimal, and a percent.

• 4/6, 0.67, 67%

• 1/6, 0.17, 17%

• 4/5, 0.8, 80%

• 6/4, 1.5, 150%

Multiple Choice

Find the probability of spinning an even number. Write your answer as a fraction, a decimal, and a percent.

• 3/5, 0.6, 60%

• 1/5, 0.2, 20%

• 4/5, 0.8, 80%

• 2/5, 0.4, 40%

Theoretical and Experimental Probabilty

• Theoretical probability is based on what should happen.

• Experimental probability is based on what DID happen in an experiment.

Multiple Choice

The probability that a coin lands on heads is 1/2. Is this theoretical probability or experimental probabilty?

• Theorectical

• Experimental

Multiple Choice

What is the experimental probability of spinning a 4 on the spinner?

• 1/5

• 37/200

Multiple Choice

What is the Theoretical probability of spinning a 1 on the spinner?

• 1/5

• 41/200

Multiple Choice

A number cube was rolled 120 times and the results were recorded. What was the probability of rolling a 6?

• 1/6

• 23/120

• 22/120

• 18/100

Multiple Choice

John conducted a survey of students and found that 4/5 named breadsticks as their favorite lunch. If the cafeteria expects 200 students for lunch tomorrow. How many orders of breadsticks should they prepare?

• 160

• 250

• 50

• 200

Sample Space - The number of total outcomes when there are more than one event occuring.

• We can use a tree diagram to help us make an organized list.

• We can also use the Fundamental Counting Principle to find the total number of outcomes.

• To find total outcomes multiply the number of outcomes for each event.

Multiple Choice

How many outcomes are there when you flip 3 coins?

• 6

• 8

• 9

• 10

Multiple Choice

How many pizzas can be made with the choices given?

• 6

• 8

• 9

• 10

Multiple Choice

How many different ice cream cones can be made with the choices given?

• 6

• 8

• 9

• 10

Multiple Choice

Sara packed 3 pairs of shorts, 5 t-shirts, and 2 pairs of shoes for a long weekend. How many outfits did she pack?

• 10

• 30

• 15

• 6

Compound Probability - Independent

• When the outcome of one event DOES NOT affect the outcome of another event.

• Number cubes, spinners, coins, all examples of independent events.

• To find the probability of independent events, multiply the simple probability of each event.

Multiple Choice

The sample space for tossing 3 coins is shown. What is the probability of tossing at least 2 tails?

• 1/8

• 3/8

• 5/8

• 1/2

Multiple Choice

The sample space for tossing 3 coins is shown. What is the probability of tossing at no heads?

• 1/8

• 3/8

• 5/8

• 1/2

Multiple Choice

Find the probability of spinning a vowel on the spinner and rolling a 5 on the number cube.

• 1/12

• 1/16

• 1/30

• 1/15

Multiple Choice

Find the probability of spinning a C on the spinner and rolling a number greater than 4 the number cube.

• 3/8

• 1/8

• 3/16

• 1/6

Multiple Choice

Find the probability of flipping heads and picking A or B.

• 1/10

• 3/10

• 1/5

• 4/5

Compound Probability - Dependent Events

• A dependent event is when the outcome of the first event affacts the outcomes for the second event.

• Key words are "NOT REPLACED"

• When you find dependent compound probability, the first fraction is a simple event, the second fraction assumes the first happened.

Mary takes a marble, Do Not Replace it, then takes another. What is the probability of 2 white marbles being picked?

2/8 x 1/7 = 1/28

Multiple Choice

There are 12 marbles in the jar. Joe takes a marble, DO NOT replace, then takes another. What is the probability that the first marble is black and the second marble white?

• 5/48

• 1/12

• 1/11

• 5/44

Multiple Choice

There are 12 marbles in the jar. Joe takes a marble, DO NOT replace, then takes another. What is the probability that the first marble is not black and the second marble black?

• 5/33

• 8/33

• 1/11

• 5/12

Multiple Choice

There are 12 marbles in the jar. Joe takes a marble, DO NOT replace, then takes another. What is the probability that the first marble is striped and the second marble is black?

• 5/33

• 5/36

• 5/48

• 1/12

Multiple Choice

Tiles containing these numbers are placed in a bag. Dina randomly chooses a tile, DO NOT replace, then choose another. What is the probability that the first tile is odd and the second tile an 8?

• 5/81

• 7/18

• 5/72

• 1/15

Multiple Choice

Tiles containing these numbers are placed in a bag. Dina randomly chooses a tile, DO NOT replace, then choose another. What is the probability that the first tile is divisible by 3 and the second tile less than 3?

• 2/27

• 1/12

• 2/81

• 1/72

Multiple Choice

Tiles containing these numbers are placed in a bag. Dina randomly chooses a tile, DO NOT replace, then choose another. What is the probability that the first tile is prime and the second tile even?

• 2/9

• 5/18

• 16/81

• 1/6