In a hockey team there are 6 defenders , 4 offenders and 1 goalie. Out

1.	In a hockey team there are 6 defenders , 4 offenders and 1 goalie. Out of these, one player is to be selected randomly as a captain. Find the probability of the selection that: i. The goalie will be selected. ii. A defender will be selected.
Answer» Total number of players in the hockey team = 6 + 4 + 1 = 11 ∴ n(S) = 11 i. 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) = \(\frac{n(A)}{n(S)}\) ∴ P(A) = 1/11 ii. 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) = \(\frac{n(B)}{n(S)}\) ∴ P(B) = 6/11 ∴ P(A) = 1/11 ; P(B) = 6/11 Probability of goalie= 1/11 Probability of defender =6/11

In a hockey team there are 6 defenders , 4 offenders and 1 goalie. Out of these, one player is to be selected randomly as a captain. Find the probability of the selection that: i. The goalie will be selected. ii. A defender will be selected.

Answer»

Total number of players in the hockey team

= 6 + 4 + 1 = 11

∴ n(S) = 11

i. 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) = \(\frac{n(A)}{n(S)}\)

∴ P(A) = 1/11

ii. 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) = \(\frac{n(B)}{n(S)}\)

∴ P(B) = 6/11

∴ P(A) = 1/11 ; P(B) = 6/11

Probability of goalie= 1/11

Probability of defender =6/11

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In a hockey team there are 6 defenders , 4 offenders and 1 goalie. Out of these, one player is to be selected randomly as a captain. Find the probability of the selection that: i. The goalie will be selected. ii. A defender will be selected.

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