Question

ssume that two marbles are drawn without replacement from a box with 1 blue, 2 white, 4 green, and 2 red marbles. Find the probability that the second marble is white, given that the first marble is blue.

A. 1/9

B. 1/4

C. 1/8

D. 2/9

Answer 1

There are total 9 marbles, out of which 1 blue, 2 White and rest are other colours.

Two marbles are drawn without replacement from a box.

The probability that second marble is white given that the first marble is blue is given by

P(BW)=2/8=1/4

If we the first marble drawn is blue, then the remaining marbles are 8 out which 2 are white. Therefore we have draw second marble which is white from 2 White marble out of remaining 8 marbles.

Hence correct choice is B