Sample Space and Theoretical Probability

What is sample space?

• All of the Outcomes
• What Will Happen
• What Can Happen
• What I want to Happen

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

• 2
• 6
• 12
• 24

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

Which shows the sample space for flipping two coins?

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

Classify each pair of events as dependent or independent. 
Roll a number cube. Then toss a coin.

• Independent
• Dependent

Two marbles are drawn from a container in such a way that the first marble drawn is replaced before selecting the second marble. Does the outcome of the first draw affect the outcome of the second?

• Yes
• No

There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red in color?

• 2/5
• 1/21
• 4/25
• 1/7

There are 2 violet balls and 4 pink balls in a bag. If two balls are drawn one after the other, then what is the probability of getting violet first and pink next, if the first ball drawn is replaced?

• 1/3
• 2/9
• 1/6
• 1/4

A basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random one after the other without replacement, then what is the probability that both the pencils are purple?

• 9/182
• 5/182
• 2/91
• 10/91

Two fair coins are tossed. What is the probability of getting at most one head? (Hint: Create a sample space)

• 1/2
• 3/4
• 1/4
• 1