In a play zone, Astha, is playing crane game. It has 12 blue balls, 8 red balls, 10 yellow balls and 5 green balls. If Astha draws two balls one after the other without replacement, then answer the following questions.

What is the probability that the first ball is yellow and the second ball is red ?

Options

A. `(16)/(119)`
B. `(8)/(119)`
C. `(24)/(119)`
D. `(64)/(119)`

Answer

B

Explanation

(B) Since, two balls are selected one after the other without replacement.
first is yellow and the second ball red
P(first ball drawn is yellow)`=P(Y) =10/35`
P(second ball drawn is red)`=P(G/B)=8/34`
`P(AnnB)=P(B).P(G/B)`
=`10/35xx8/34`
`=(8)/(119)`