Question

A box has 50 balls, of which 17 are red, 16 are blue, and 17 are yellow. Balls are extracted at random then returned to the box. What is the probability that after performing this test three times exactly two are yellow and one is red?

PLS SHOW THE WORK, THANKS

Answer 1

Given

P(red) = 17/50

P(blue) = 16/50

P(yellow) = 17/50

Out of three times exactly 2 yellow and one red is

Yellow yellow red , yellow red yellow, red yellow yellow

Yellow yellow red = probability = (17/50)*(17/50)*(17/50)

= 0.0393

Yellow red yellow = probability =(17/50)*(17/50)*(17/50)

= 0.0393

Red yellow yellow = probability =(17/50)*(17/50)*(17/50)

= 0.0393

Total probability is given by

= 3 * 0.0393

= 0.1179

P(three times exactly 2 yellow and one red = 0.1179