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.

Answer 1

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`.