The sales bin in a clothing store contains an assortment of t-shirts in different sizes.There are 4 small,7 medium,and 9 large shirts.Alan is looking for a large shirt.He starts grabbing shirts one at a time and checking the size.After he checks each shirt,he leaves it outside the bin.What is the probability that the first large shirt he finds is the third one he checks?
A)0.074
B)0.136
C)0.145
D)0.124
E)0.091

Question

Quizplus · Accepted Answer

There are 20 shirts in total. The probability of not picking a large shirt on the first pick is 11/20. The probability of not picking a large shirt on the second pick is 10/19. The probability of picking a large shirt on the third pick is 9/18. So, the probability of picking a large shirt on the third pick is (11/20) * (10/19) * (9/18) = 0.145.

The Sales Bin in a Clothing Store Contains an Assortment