A box has 8 red balls and 8 green balls. Two balls are drawn randomly in succession from the box without replacement. The probability that the first ball drawn

Q. A box has 8 red balls and 8 green balls. Two balls are drawn randomly in succession from the box without replacement. The probability that the first ball drawn is red and the second ball drawn is green is

Sol:

A box has 8 red balls and 8 green balls.

Two balls are drawn randomly in succession from the box without replacement.

Let P1(E) denotes the probability that the first ball drawn is red.

Let P2(E) denotes the probability that the second ball drawn is green.

As there are total 16 balls and we need to select one red ball There are 8 red balls.