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Paul [167]
3 years ago
15

Part B, what is the probability that a randomly chosen red shirt will be small?

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
3 0

Thanks for the full problem. You did part A correctly but wrote "large shirt" instead of "red shirt" in the denominator. You correctly used 0.35, the probability of a red shirt.


The formula for conditional probability applied here says:


P( large | red ) = P(large & red) / P(red)


We have n=100 shirts, 5 of which are large and red


P(large & red) = 5/100


P(red) = 35/100


P(large | red) = (5/100)/(35/100) = 5/35 = 1/7 = 0.14285...


Part A answer: 14.3%


P(small | red) = P(small & red) / P(red) = (30/100)/(35/100)=6/7=.8571...


Part B answer: 85.7%






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