A retail store is having a sale. A shopper wanting two medium blouses heads for

Question

A retail store is having a sale. A shopper wanting two medium blouses heads for the sales rack, which is a mess, with sizes jumbled together. Hanging on the rack are

5 medium, 11 large, and 4 extra-large blouses.

Find the probability of each event described.

(a) The first two blouses she grabs are the wrong size.

(b) The first medium blouse she finds is the third one she checks.

(c) The first four blouses she picks are all extra-large.

(d) At least one of the first four blouses she checks is a medium.

The probability the first two blouses are the wrong size is

Explanation / Answer

let M = medium , L = Large , XL = extra large

=>

a)

P(M' and M')

= 15/20 * 14/19

= 0.5526

b)

remaining blouses = 18

=>

probability =5/18 = 0.2777

c)

Probability = 4/20 * 3/19 * 2/18 * 1/17

= 0.00021

d)

probability = 1 - none of them are medium

= 1 - 15/20 * 14/19 * 13/18 * 12/17

= 0.7183

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