Question

A geological survey is collecting samples of rock to determine the abundance of minerals in the surrounding area . There is a 7% chance that any particular sample contains detectable amounts of precious mineralsWhat is the probability that the first detection of precious minerals is observed on the 10th sample?

Answer 1

Explanation:

This is a binomial distribution problem where the probability of success (detecting precious minerals) is 0.07 and the number of trials is 10.

The probability of detecting precious minerals on the 10th sample can be calculated using the binomial probability formula:

P(X=10) = (10 choose 10) * 0.07^10 * (1-0.07)^(10-10)

P(X=10) = 0.0002824

Therefore, the probability of detecting precious minerals on the 10th sample is 0.0002824, or approximately 0.03%.