Question

a college cricket team with 11 players consists of 4 batsmen,3 all rounders,3 biwlers and 1 wicket keepers.3 players r selected randomly.find the probablity that the selection contains a batsman,a bowler and an all rounder?

Answer 1

total players=11
no. of batsman=4
probability of selecting batsman=4/11
no. of bowler=3
probability of selecting bowler=3/11
no. of all rounder=3
probability of selecting all rounder=3/11

Answer 2

Answer:

The probability that the selection contains a batsman,a bowler and an all rounder is 0.060.

Step-by-step explanation:

Given : A college cricket team with 11 players consists of 4 batsmen,3 all rounders,3 bowlers and 1 wicket keepers.3 players r selected randomly.

To find : The probability that the selection contains a batsman,a bowler and an all rounder?

Solution :

Total players = 11

Number of Batsman = 4

Number of all rounders = 3

Number of bowlers = 3

Number of Wicket keepers = 1

Need to select 3 players.

The probability that the selection contains a batsman,a bowler and an all rounder.

$P=\frac{^4C_1+^3C_1+^3C_1}{^{11}C_3}$

$P=\frac{4+3+3}{11\times 5\times 3}$

$P=\frac{10}{165}$

$P=0.060$

Therefore, The probability that the selection contains a batsman,a bowler and an all rounder is 0.060.