Question

A bag contains 3 red, 4 yellow, and 5 blue marbles. Two marbles are randomly selected from the bag with replacement. Find the probability that 1) they are the same color 2) at least one is red 3) exactly one is yellow

Answer 1

Let:

A = select a red marble

B = select a yellow marble

C = select a blue marble

N = total number of marbles in the bag

na = Number of red marbles in the bag

nb = Number of yellow marbles in the bag

nc = Number of blue marbles in the bag

1)

g