62.285% chance Aya gets a coupon at least once in 6 days.
The probability that Aya will get the coupon on at least one day is 1 - (0.85)^6 = 0.62285.
Here is the breakdown of the calculation:
The probability that Aya will not get the coupon on one day is 1 - 0.15 = 0.85.
The probability that Aya will not get the coupon on 6 consecutive days is 0.85 ^ 6.
The probability that Aya will get the coupon on at least one day is 1 - 0.85 ^ 6.
Therefore, the probability that Aya will get the coupon on at least one day is 0.62285.