Question

the probability that a randomly selected box of a certain type of cereal has a particular prize is 0.4. suppose you purchase box after box until you have obtained four of these prizes.

Answer 1

The probability of obtaining a particular prize in a box of cereal and the process of purchasing boxes until four prizes are obtained.

Step-by-step explanation:

The subject of this question is Mathematics. The question asks about the probability of obtaining a particular prize in a box of cereal, and the process of purchasing boxes until four prizes are obtained.

To solve this problem, we can use the concept of geometric distribution. The probability of obtaining the prize in a single box is given as 0.4. The probability of obtaining the prize in exactly the fourth box can be calculated as:

P(X = 4) = (1-0.4)3 * 0.4 = 0.04

Therefore, the probability of purchasing box after box until you have obtained four prizes is 0.04.