Question

A website offers a coupon such that each customer has a


15


%


15%15, percent chance of getting the coupon each day they visit the site. Aya visits the website for


6


66 consecutive days.


What is the probability that at Aya will be offered a coupon on at least one of the days she visits the website?


Round your answer to the nearest hundredth

Answer 1

Answer:

0.62

Step-by-step explanation:

Let's call

A: Aya gets a coupon one day. P(A) = 0.15

B: Aya doesn't get a coupon one day. P(B) = 1 - 0.15 = 0.85

Aya doesn't get a coupon in any of 6 days  = P(B)^6 = 0.85^6 = 0.38

The probability of Aya getting at least 1 coupon after 6 days is the complement of don't getting any coupon after 6 days, that is:

1 - P(B)^6 =  1 - 0.38 = 0.62