Question

To explain:The reason for the statement to be incorrect.A person participates in a weekly office pool in which he has one chance in ten of winning the prize. If he participates for five weeks in succession, the probability of winning at least one prize is 5/10.

Answer 1

The correct answer is - given approach is incorrect.

Explanation:

P = probability of winning = 1/10

q = probability of not winning = 1- (1/10) = 9/10

x = no. of winning

then, p (x ≥ 1) = 1 - p (x < 1)

= 1 - p (x=0)

= 1 - ⁵C₀ (1/10)^⁰ (9/10)^(5-0)

= 1 - (1) (1) (9/10)^5

= 1 - (9/10)^5