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