Question

An online merchant sells products that can be classified into the following non-intersecting categories: video games, electronics and clothing.

In any given week, it is estimated that twice as many video games are sold compared to clothing items. However, the number of electronic items sold would be two-thirds of the number of video games sold, less one-fifth of the number of clothing items sold. A total of five items were independently sold in the past week.

What is the probability that the five items consisted of three video games, one electronic item and one clothing item?

1. 0.03

2. 0.06

3. 0.08

4. 0.12

5. 0.15

Answer 1

To calculate the required probability first we calculate the numbers of item sold