Question

A shop sells 6 types of sweets (chocolate, taffy, gummies, cookies, brownies, and sweet tarts), 3 types of snacks (chips, crackers, and bananas), and 3 types of drinks (soda, juice, and water). The shop owners randomly package a "goody bag" of 1 sweet, 1 snack, and 1 drink. What is the probability that the goody bag contains taffy, chips, and soda?

Answer 1

The probability is
`(1)/(54)`

Explanation:

A shop sells 6 types of sweets.

It sells 3 types of snacks.

And it sells 3 types of drinks.

The shop owners randomly package a "goody bag" of 1 sweet, 1 snack, and 1 drink.

So, the probability that the goody bag contains taffy, chips, and soda is :

`(1)/(6) *(1)/(3) *(1)/(3)`

=
`(1)/(54)`