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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. - Algebra

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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 – The goalee will be selected.

Sum

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 A: The goalee will be selected

Given: n(A) = 1

∴ `"P" ("A) = (n(A))/(n(S)) =1/11`

Hence, the probability that the goalee will be selected is `1/11`.

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Chapter 5: Probability - Problem Set 5 [Page 126]

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