1.

For a University cricket team, 2 players are to be selected from a certain College among 5 batsmen, 3 bowlers and 2 wicket keepers. Find the probability of selecting (i) a batsman and a wicket keeper (ii) no wicket keeper.

Answer»

n = Total number outcomes to select 2 players from (5 batsmen + 3 bowlers + 2 wicket keepers) 10 players = 10C2 = 45 ways 

(i) m = One batsman out of 5 batsmen and one wicket keeper out of can be 2 selected in (5C1 × 2C1) = 5 × 2 = 10 outcomes. P (Selecting one batsman and one wicket keeper)

= m/n = 10/45 = 2/9.

(ii) m = no wicket keeper which means both the players are either batsmen or bowlers. 

P (Selecting two players but no wicket keeper) = m/n = 28/45.



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