4.70 A bank executive is presented with loan applications from 10 people. The profiles of the applicants

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4.70 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?

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