3. Annie ordered cotton T-shirts for the Doubles Club. The tree diagram below sh
ID: 3269489 • Letter: 3
Question
3. Annie ordered cotton T-shirts for the Doubles Club. The tree diagram below shows the color and sizes of all the shirts she ordered. Part A: Given that Annie chooses a red shirt at random, what is the probability that the shirt will be large? Use the formula . Express your answer as a percent rounded to the nearest tenth. (4 points)
large 50
blue 65 -- <
small 15
large 5
Red 35 --- <
small 30
Part B: What is the probability that a randomly chosen red shirt will be small? Use the formula . Express your answer as a percent rounded to the nearest tenth. (4 points)
Explanation / Answer
Given that a red shirt is chosen, probability that the shirt will be large
= number of large red shirts/ Total number of red shirts
= 5/35
= 0.1429
Therefore 0.1429 is the required probability here.
that is equivalent to 14.3%
b) Probability that a randomly chosen red shirt willbe small
= 1 - Probability that the random chosen red shirt is large
= 1 - 0.1429
= 0.8571
Therefore 85.7% is the required answer here.
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