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. In a group of 10 there are 4 batsman and 6 bowlers. What is the probability of selecting 5 players, which includes 3 batsman and 2 bowlers?


1. 6/21
2. 11/21
3. 31/21
4. 5/21
5. 17/21

1 Answer

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Best answer
Correct Answer - Option 4 : 5/21

Given:

Total number of players in a team = 10

Total number batsmans = 4

Total number of bowlers =6

Total selecting players = 5

Selecting number of batsman = 3

Selecting number of bowlers = 2

Calculation:

Total number of players = 10

∴ Number of ways to select 5 players = 10C5 = 252

Total number of batsman = 4

∴ Number of ways to select 3 batsman = 4C3 = 4

Total number of bowlers = 6

∴ Number of ways to select 2 bowlers = 6C2 = 15

∴ Required probability = (15 × 4)/252 = 5/21

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