# Question

A bank executive is presented with loan applications from 10 people. The profiles of the applicants are similar, except that 5 are minorities and 5 are not minorities.

In the end the executive approves 6 of the applications.

If these 6 approvals are chosen at random from the 10 applications, what is the probability that fewer than half the approvals will be of applications involving minorities?

In the end the executive approves 6 of the applications.

If these 6 approvals are chosen at random from the 10 applications, what is the probability that fewer than half the approvals will be of applications involving minorities?

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