Chapter 9: Probability of combined events

The tree diagram shows the outcomes of rolling a die and flipping a coin.  
What is the probability of rolling an even number and flipping a head?

• ³/₁₂
• ¹/₂
• ⁴/₁₂
• ⁰/₁₂

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.8

The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  

• 6
• 12
• 24
• 36

P(1 and A)

• 1/16
• 1/10
• 4/16
• 1/4

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

Three coins are tossed. How many outcomes have either two heads or two tails?

• 8
• 6
• 2
• 4

The daily special at the House of Pies offers one of three featured pies and your choice of coffee, tea, milk or juice. How many ways can you order the special?

• 12
• 8
• 15
• 6

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 

• 1/12
• 1/4
• 1/8
• 1/2

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

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 complete set of possible combinations?

• TW, CW, PW
• TW, TM, TC, CW, PW
• TW, TM, CW, CM, PW, PM
• TCP, MW

Tags

CCSS.3.OA.A.1

CCSS.3.OA.A.3

What is the probability that you will get plain crust with ham on your pizza?

• 1/8

• 1/₂

• 1/₁₀

• 2/₁₀

Tags

CCSS.7.SP.C.5

What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?

• 1 ⁄ 6
• 1 ⁄ 8
• 1 ⁄ 2
• 1 ⁄ 12

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

Is the event INDEPENDENT or DEPENDENT?
Amy plays card games.  She picks a card at random.  Then without putting the first card back, he picks a second card at random.

• Independent
• Dependent

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

CCSS.HSS.CP.B.8