Question

Probability of buying a movie ticket with a popcorn coupon is 0.546 and without popcorn coupon is 0.454 if you buy 27 movie tickets we want to know the probability that exactly 15th of the tickets have popcorn coupons.

Answer 1

To find the probability that exactly 15th of the 27 movie tickets have popcorn coupons, we can use the binomial probability formula. The probability is approximately 0.1612, or 16.12%.

Step-by-step explanation:

To find the probability that exactly 15th of the 27 movie tickets have popcorn coupons, we need to use the binomial probability formula. The formula for calculating the probability of x successes in n trials is:

P(x) = C(n, x) * p^x * q^(n-x)

Where:

• P(x) is the probability of x successes
• C(n, x) is the number of combinations of n items taken x at a time
• p is the probability of success in one trial
• q is the probability of failure in one trial, which is equal to 1 minus p

In this case, we want to find the probability of exactly 15 tickets having popcorn coupons, so we have:

P(15) = C(27, 15) * 0.546^15 * 0.454^12

Using a calculator or software to calculate the combination, the probability works out to be approximately 0.1612, or 16.12%.