Henry will reject a cookie with less than 8 raisins.In the past, one out of every 100 cookies had less than 8 raisins. Find theprobability that the first cookie Henry rejects is the 5th cookie on the line.

the chance that the first 4 cookies are not rejected is .99^4 = .96060

then the chance that the 5th cookie is rejected is .01, so, the final

p = .99^4 * .01 == .0096

To find the probability that the first cookie Henry rejects is the 5th cookie on the line, we need to determine the probability that the first four cookies are not rejected by Henry, and the fifth cookie is rejected.

The probability that a randomly selected cookie has less than 8 raisins is 1 out of 100, or 1/100. Therefore, the probability that a randomly selected cookie has 8 or more raisins is 99 out of 100, or 99/100.

To calculate the probability that the first four cookies are not rejected by Henry, and the fifth cookie is rejected, we multiply the probability that each event occurs:

P(first four cookies not rejected) = (99/100) * (99/100) * (99/100) * (99/100)
P(fifth cookie rejected) = 1/100

Therefore, the probability that the first cookie Henry rejects is the 5th cookie on the line is:

P = (99/100) * (99/100) * (99/100) * (99/100) * (1/100)
P ≈ 0.0099 or 0.99%

To find the probability that the first cookie Henry rejects is the 5th cookie on the line, we need to consider the probability of three events:

1. The first four cookies have more than or equal to 8 raisins: Since the probability that a cookie has less than 8 raisins is 1/100, the probability that a cookie has more than or equal to 8 raisins is 1 - 1/100, which is 99/100.

2. The 5th cookie has less than 8 raisins: Since this is the event we are interested in, the probability is 1/100.

3. The 6th and subsequent cookies have more than or equal to 8 raisins: Similar to the first event, the probability is again 99/100.

Now, to find the probability of the first cookie Henry rejects being the 5th cookie, we multiply the probabilities of all three events:

P = (99/100) * (1/100) * (99/100) = 9801/1,000,000

Therefore, the probability that the first cookie Henry rejects is the 5th cookie on the line is 9801/1,000,000 or approximately 0.009801.