Probability (Sample Space and Complement)

Multiple Choice

Probability is defined as...

• the set of all possible outcomes.
• the likelihood that an event will happen.
• a tree diagram.
• the fundamental counting principle.

Multiple Choice

A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the P(Quarter), or the probability of picking a quarter?

• 5/11
• 40%
• 1/3
• 5-11

Explanation Slide...

Multiple Choice

Which shows the sample space for flipping two coins? 
H = heads, T = tails

sample space includes all possible combinations

• H, T
• HH, HT, TH, TT
• HH, TT
• HH, TT, TT, HH

Multiple Choice

The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which shows the CORRECT Sample Space List of possible combinations?

• TW, CW, PW, MT, TS, PM

• TW, TM, PC, CS, CW, PW

• TW, TM, CW, CM, PW, PM
• TCP, MW

Multiple Choice

Three coins are tossed. Use the Sample Space provided. What's the probability of landing on the same side on all 3 coins? (Remember to simplify your answer).

• ⅛

• 1/4

• ⅓

• ⅞

Multiple Choice

The sample space tree diagram for a team of three students is shown. What is the probability that the team would consist of at least2 girls? (Simplify your answer).

• ½

• ⅜

• ¾

• ⅙

Multiple Choice

Tree diagrams are useful because...

• they are cool to draw.
• they show you pictures of the food.
• they show you all possible outcomes.
• they only show you the best choices.

Multiple Choice

Based on the tree diagram, what is the probability of choosing a combination with a chicken sandwich?

• 1/3
• 4/12
• 2/12
• 2/4

Multiple Choice

Based on the tree diagram, what is the probability of eating a salad with juice?

• 6/12
• 1/2
• 3/12
• 1/4

Multiple Choice

Based on the sample space, what is the probability of NOT wearing a red shirt OR grey trousers?

• 9/16
• 7/16
• 8/16
• 4/16

Multiple Choice

During lunch, you have a choice of 1 burger, 1 side and 1 drink. Which multiplication sentence shows the total number of possible combinations?

• 4 x 2
• 4 + 2 + 4
• 4 + 2
• 4 x 2 x 4

Multiple Choice

When rolling 1 die once, spinning a spinner once, and flipping a coin once, how many combinations are possible? 

• 13
• 32
• 60
• 16

Multiple Choice

How many total outfit options are represented?

• 12
• 22
• 3

Multiple Choice

How many outcomes are there with tossing a coin and rolling a dice?

• 2
• 6
• 12
• 24

Multiple Choice

Which of the following situations is represented by this tree diagram?

• 3 shirt options, 6 pants options, and 12 shoe options
• 3 shirt options, 2 pants options, and 2 shoe options
• 2 shirt options, 3 pants options, and 1 shoe option

Multiple Choice

Max is ordering a salad for lunch. He can choose one of chicken, tofu, hard-boiled eggs, or turkey to have on the salad. He can also pick one vegetable topping. The vegetable choices are sprouts, tomatoes, or olives. How many different combinations can Max create?

• 7 combinations

• 12 combinations

• 3 combinations

• 4 combinations

Multiple Choice

What is the probability of rolling two dice and getting 10?

• 1/12

• 1/10

• 1/9

• 5/36

Complement of an Event

The complement of an event is like the opposite of that event happening. Let's say the event is "It will rain tomorrow." The complement of this event would be "It will not rain tomorrow." So, if you add up the probability of an event happening and the probability of its complement happening, you always get 1.

Multiple Choice

A bag of candy contains 2 red, 4 yellow, and 4 green candies.

P(red or yellow) =

• 3/5

• 1/5

• 2/5

• 4/5

Multiple Choice

A bag of candy contains 2 red, 4 yellow, and 4 green candies.

P(NOT red or yellow) = The Complement

• 3/5

• 1/5

• 2/5

• 4/5

Multiple Choice

P(even) =

• 5/7

• 1/7

• 2/7

• 4/7

Multiple Choice

P(NOT even) = The Complement

• 5/7

• 1/7

• 2/7

• 4/7

Multiple Choice

There are 14 girls and 12 boys in a class.

P(boy) =

• 7/13

• 6/13

• 4/13

• 12/25

Multiple Choice

There are 14 girls and 12 boys in a class.

P(NOT boy) = The Complement

• 7/13

• 6/13

• 4/13

• 12/25