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 -
(1) The goalee will be selected.
(2) A defender will be selected.​

Answer 1

Total number of players in the hockey team = 6 + 4 + 1 = 11

∴ n(S) = 11

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(1) The goalee will be selected.

Let A be the event that the captain selected will be a goalie. There is only one goalie in the hockey team.

∴ n(A) = 1

∴ P(A) = n(A) / n(S)

∴ P(A) = 1/11

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(2) A defender will be selected.

Let B be the event that the captain selected will be a defender. There are 6 defenders in the hockey team.

∴ n(B) = 6

∴ P(B) = n(B) / n(S)

∴ P(B) = 6/11

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Answer 2

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No. of defenders =6

No. of offenders =4 

No. of Goalee =1

Total players =11

1) Probability goalee will be selected :-

$\frac{no. \: of \: goalee}{total \: players} = \frac{1}{11}$

2) Probability, defender will be selected:-

$\frac{no \: of \: defender}{total \: players} = \frac{6}{11}$