Final answer:
To find the probabilities related to toy cars in kids' meals, multiply the relevant probabilities or subtract from 1 in the case of multiple meals. For (c), raise the probability of not getting a toy car to the power of the number of meals.
Step-by-step explanation:
In this question, we are given that 3 out of every 10 kids' meals contain a toy car. We need to find the probability for the given scenarios:
(a) To find the probability that you must purchase two kid's meals to find a toy car, we multiply the probability of not getting a toy car in the first meal (7 out of 10) with the probability of getting a toy car in the second meal (3 out of 10). So the probability is (7/10) * (3/10).
(b) To find the probability that you must purchase fewer than three kid's meals to find a toy car, we need to find the probability of getting a toy car in the first or second meal. So the probability is 1 - (the probability of not getting a toy car in both meals).
(c) To find the probability that a toy car is not in any of the first seven kid's meals you purchase, we multiply the probability of not getting a toy car in one meal (7 out of 10) by itself seven times. So the probability is (7/10)^7.