More Tree Diagrams and Probability

Jason can choose 1 pair of pants and one shirt to wear today. Here are his choices. Which tree diagram shows all of the combinations that Jason can choose from?

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What is the probability the dessert has peanut butter in it?

• 0.84

• 0.58

• 0.22

• 0.59

What is the probability that the dessert doesn't have peanut butter in it?

• 1.16

• 0.41

• 0.38

• 0.78

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

There are 10 counters in a bag, 3 red and 7 blue.

I take one counter, then another without replacement.

Find the probability of picking two red counters.

• ⁶/₉₀

• ⁵/₁₉

• ⁴⁷/₉₀

• ²/₉

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

Jack has been missing his bus frequently. His mom believes that when he wakes up late, he is more likely to miss his bus. The tree diagram represents the probability Jack will miss his bus if he wakes up late or not. Identify P(does not wake up late).

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

Jack has been missing his bus frequently. His mom believes that when he wakes up late, he is more likely to miss his bus. The tree diagram represents the probability Jack will miss his bus if he wakes up late or not. Identify P(misses the bus given that he does not wake up late).

Which of the following statements are true based on the tree diagram? Select all that apply

• P(misses bus) = 0.38

• P(misses bus after wakes up late) = 0.38

• P(does not wake up late) = 0.59

• P(does not miss bus) = 1.57

• P(wakes up late AND misses bus) = 0.38

Many students' grades have been going down since they have stopped doing their homework. The tree diagram represents the probability a student will receive an A in math class depending on if they complete their homework. Identify ALL the statements that appropriately fill in the blanks. Select all that apply.

• P(completes homework) = 0.71

• P(completes homework and receives an A) = 0.33

• P(receives an A after completes homework) = 0.82

• P(does not complete homework but receives an A) = 0.82

• P(receives an A given that does not complete homework) = 0.33

Given that Sam is the coach today, what is the probability of being goalie?

• 0.5

• 0.3

• 0.25

• 0.12