Suppose a high school gymnasium bag contains volleyballs, basketballs, and В 0.47 soccer balls. During physical education class, the coach randomly selects a ball from the bag. The ball the coach selects determines what sport the students play 0.42 В V that day. If she selects a volleyball, the students play volleyball that day, and so 0.47 0.11 on. The tree diagram shows the possible outcomes with their probabilities for two В 0.47 consecutive physical education classes. Determine the probability that the students will play volleyball two days in a row. Give your answer as a decimal precise to two decimal places. 0.42 0.42 V 0.11 B 0.11 0.47 P(playing volleyball two days in a row) = 0.42 0.11

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Suppose a high school gymnasium bag contains volleyballs, basketballs, and
В
0.47
soccer balls. During physical education class, the coach randomly selects a ball
0.42
В
V
from the bag. The ball the coach selects determines what sport the students play
that day. If she selects a volleyball, the students play volleyball that day, and so
0.47
0.11
S
on.
The tree diagram shows the possible outcomes with their probabilities for two
В
0.47
consecutive physical education classes. Determine the probability that the
0.42
0.42
V
students will play volleyball two days in a row. Give your answer as a decimal
precise to two decimal places.
0.11
0.11
В
0.47
P(playing volleyball two days in a row)
0.42
V
0.11
S
Transcribed Image Text:Suppose a high school gymnasium bag contains volleyballs, basketballs, and В 0.47 soccer balls. During physical education class, the coach randomly selects a ball 0.42 В V from the bag. The ball the coach selects determines what sport the students play that day. If she selects a volleyball, the students play volleyball that day, and so 0.47 0.11 S on. The tree diagram shows the possible outcomes with their probabilities for two В 0.47 consecutive physical education classes. Determine the probability that the 0.42 0.42 V students will play volleyball two days in a row. Give your answer as a decimal precise to two decimal places. 0.11 0.11 В 0.47 P(playing volleyball two days in a row) 0.42 V 0.11 S
Expert Solution
Step 1

Based on the tree diagram, the known values are:

PBasket ball=0.47PVolley ball=0.42PSoccer balls=0.11

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