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Question
In a hockey team there are 6 defenders, 4 offenders and 1 goalee. Out of these, one player is to be selected randomly as a captain. Find the probability of the selection that – A defender will be selected.
Solution
Given:
Number of defenders = 6
Number of offenders = 4
Number of goalee = 1
Let S be the sample space.
∴ n(S) = Number of defenders + Number of offenders + Number of goalee
= 6 + 4 + 1
= 11
Event B: A defender will be selected will be a defender
Given: n(B) = 6
∴ `P(B) = (n(B))/(n(S)) = 6/11`
Hence, the probability that the defender will be selected is `6/11`.
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