Question

1. A drawer in a jewelry store contains 8 digital watches, 7 analog watches, and 5 smart watches. A salesperson selects a watch without looking. Find each probability a. P(the watch is digital) b. P(the watch is not digital) c. P(the watch is analog) c. P(the watch is not analog) d. P(the watch is a smart watch)

Answer 1

There are 8 + 7 + 5 = 20 watches is total

Now,

a.

P(digital watch) = 8/20 = 2/5

total 20 and of then 8 are digital

b.

P(not digital) = 1 - p(digital)

we already know 2/5 is digital, so

1 - 2/5 = 3/5

c.

P(analog watch) = 7/20

7 of the 20 total watches are analog

d.

P (not analog) = 1 - p(analog watch)

we already know probabiliity of analog is 7/20, so

P (not analog) = 1 - 7/20 = 13/20

e.

Out of 20 watches, 5 are smart, so

P(smart) = 5/20 = 1/4