Question

There are 2 boxes a and

b. Box a has 3 red and 4 blue balls. Box b has 5 red and 2 blue balls. Amar draws a ball from each bag randomly. What is the probability that both the balls are red?

Answer 1

a = 3 red balls b = 4 blue ball
b = 5 red balls & b = 2 blue balls

total number of balls = 3+4 =7 or 5+2= 7 balls
number of out comes when a ball is selected randomly=3+4=7
now, number of favorable outcomes of red balls
P(E)=number of favorable outcomes divided by number of total outcomes=3/7 or 5/7

a= 3 red balls and b=5 red balls
number of favorable outcomes in drawing red balls in both a=3 & b=5

Probability of getting red ball
P(R) = number of favorable outcomes divided by number of total outcomes = 3/7 & 5/7 = 8/7