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in Probability by (46.9k points)
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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.

2 Answers

+1 vote
by (47.6k points)
selected by
 
Best 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

+1 vote
by (20 points)
Probability of goalie= 1/11

Probability of defender =6/11

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