Question

Suppose that the probability of randomly selecting a cookie with chocolate chips out of a variety tin is 0.44 and the probability of selecting a cookie with raisins is 0.24. If the probability of selecting a cookie with raisins and chocolate chips is 0.22, what is the probability that the cookie chosen has neither raisins nor chocolate chips?

Round your answer to the nearest millionth, if necessary.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the probability of selecting a cookie with neither raisins nor chocolate chips, we can use the formula:

P(neither) = 1 - P(chocolate chips) - P(raisins) + P(chocolate chips and raisins)

P(neither) = 1 - 0.44 - 0.24 + 0.22
P(neither) = 1 - 0.44 - 0.24 + 0.22
P(neither) = 1 - 0.66 + 0.22
P(neither) = 0.56

Therefore, the probability of selecting a cookie with neither raisins nor chocolate chips is 0.56 or 0.560 rounded to the nearest millionth.