Question

Three shoppers from the survey are selected at random, one at a time without replacement. What is the probability that none of the three shoppers purchased electronics? Do not round your intermediate computations. Round your final answer to three decimal places.

Answer 1

Answer:

0.395

Step-by-step explanation:

The computation of the probability that none of the three shoppers purchased electronics is shown below:

So, first we have to determine the number of shoppers without considering the purchase i.e

= Total number of shoppers - electronics

where,

Total number of shoppers = Offices supplies + electronics + clothing + beauty supplies - electronics

= 18 + 25 + 40 + 12 - 25

= 95 - 25

= 70

Now the probability is

= $\frac{70}{95}\times\frac{69}{94}\times\frac{68}{93}$

= 0.395