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Answer :
The smallest number of green apples that makes the probability of finding at least one green apple among the four at least 99.9 percent is 4000.
What is Probability?
Probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 meaning that the event is impossible and 1 meaning that the event is certain. Probability theory is widely used in the analysis of statistical data, such as in the study of the behavior of populations or financial markets.
To calculate the smallest number of green apples that makes the probability of finding at least one green apple among the four at least 99.9 percent, we must first calculate the probability of not finding any green apples. This can be done by finding the probability of selecting four red apples from the basket. With four red apples and an unspecified number of green apples, the probability of selecting four red apples is 4/N, where N is the total number of apples in the basket.
To find the smallest number of green apples, we must set the probability of selecting four red apples equal to 0.001 and solve for N. This gives us:
N = 4/0.001
Therefore, the smallest number of green apples that makes the probability of finding at least one green apple among the four at least 99.9 percent is 4000.
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