Question

A bag has 6 green marbles and 6 yellow marbles. Half of the yellow marbles are made of glass. A marble is selected at random from the bag. What is the probability that it is a yellow, glass marble?

Answer 1

Sample Space = {6 Green Marbles, 3 Yellow Glass, 3 Yellow Marbles} =12

Favorable Event ={ yellow AND Glass}

P(Yellow) = 6/12 = 1/2
P(Glass) = 3/12 =1/4

P(Yellow ∩ Glass) = P(Yellow) x P(Glass) = (1/2).(1/4) = 1/8 = 0.125