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A bagel shop decides to promote their newest creation, the Salted Caramel Ghost Pepper Explosion bagel, by distributing coupons redeemable for a free sample. Suppose

A bagel shop decides to promote their newest creation, the Salted Caramel Ghost Pepper Explosion bagel, by distributing coupons redeemable for a free sample. Suppose there are 100 samples available and they distribute 500 coupons. If we assume that there is a 15% chance that any coupon is redeemed, what is the probability that they will run out of samples (that is, what is the probability that more than 100 coupons will be redeemed)?

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