asked 28.7k views
5 votes
The radio station manager will award a free stereo to a contest winner. There are 20 black stereos, 15 white stereos, 10 red stereos, and 5 silver stereos to choose from. What is the probability that the stereo randomly selected by the contest winner is NOT white?

1 Answer

4 votes

Solution:

we are given that

The radio station manager will award a free stereo to a contest winner. There are 20 black stereos, 15 white stereos, 10 red stereos, and 5 silver stereos to choose from.

we have been asked to find

The probability that the stereo randomly selected by the contest winner is NOT white?

Total number of stereo=50

Total number of white stereo=15

1 can nbe chosen out of 50 in
{50}_C_1 ways.

1 can nbe chosen out of 15 in
{15}_C_1 ways.

So the probability that the chosen sterio is white
=\frac{ {15}_C_1 }{{50}_C_1} =0.3\\

So the probability that the chosen sterio isNOT white
=1-0.3=0.7

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