Question

A bag of 95 balls comes with three different colors. 38 red balls, 42 blue balls and the rest are green. If two balls are randomly selected from the bag;

A. What is the probability that both balls are blue? Will this be unusual?

B. What is the probability that exactly one is red and one is green?

C. What is the probability that the first is green and the second is either red or blue?

Answer 1

Number of red balls is 38,

Number of blue balls is 42

Number of green balls is 15

A. Number of ways of drawing 2 balls from the bag is

Number of ways of drawing 2 blue balls is

Hence the required probability is

B. Number of ways of drawing  exactly one red and one green is  

Hence, the probability is

C. Number of ways of drawing first green and the second either red or blue is  

Hence, the probability is