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Suppose that 10 percent of the chips- produced by a computer hardware manufacturer are defective. If we order 100 such chips, will the number of defective ones we receive be a binomial random variable?

The probability of being dealt a full house in a hand of poker is approximately \(.0014\). Find an approximation for the probability that in 1000 hands of poker you will be dealt at least 2 full houses.

If \(n\) married couples are seated at random at a round table, approximately what is the probability that no wife sits next to her husband? When \(n=10\) compare your approximation with the exact answer given in Example \(5 \mathrm{n}\) of Chapter 2 .

Consider a roulette wheel consisting of 38 numbers-1 through 36,0 , and double 0. If Smith always bets that the outcome will be one of the numbers 1 through 12 , what is the probability that (a) Smith will lose his first 5 bets; (b) his first win will occur on his fourth bet?

In Banach's matchbox problem find the probability that at the moment when the first box is emptied (as opposed to being found empty), the other box contains exactly \(k\) matches.