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A candy company claims that in a large bag​ (over 1,000​ pieces) of Halloween candy half...

A candy company claims that in a large bag​ (over 1,000​ pieces) of Halloween candy half the candies are orange and half the candies are black. You pick candies at random from a bag and discover that of the first 50 you​ eat, 21 are orange.

​a) If it were true that half are orange and half are black​, what is the probability you would have found that at most 21 out of 50 were orange​?

​b) Do you think that half of the candies in the bag are really orange​? Explain.

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