The probability of selecting a blue marble at random from a jar that contains only blue, black and green marbles is 1/5 . The probability of selecting a black marble at random from the same jar is 1/4 . If the jar contains 11 green marbles, find the total number of marbles in the jar.
P(blue marble) = 1/5
P(black marble) = 1/4
∴ P(green marble) = 1 – ( (1/5) + (1/4))
= 11/20
Let total number of marbles be X
then,
(11/20) × X = 11
X = 20