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?

Solution:we are given thatThe 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=50Total number of white stereo=151  can nbe chosen out of 50 in [tex]  {50}_C_1 [/tex] ways.1  can nbe chosen out of 15 in [tex] {15}_C_1 [/tex] ways.So the probability that the chosen sterio is white [tex] =\frac{ {15}_C_1 }{{50}_C_1} =0.3\\ [/tex] So the probability that the chosen sterio isNOT  white [tex]  =1-0.3=0.7 [/tex]