In Bridge, fifty-two cards are dealt to four players, thirteen to each.

(a) Write a formula for p₁, the probability that a particular player, say, the first, will get a whole suit (all thirteen cards will come from the same suit).

(b) Write a formula for p₁₂, the probability that two particular players, say, the first and the second, will get whole suits each.

(c) Write a formula for p₁₂₃, the probability that three particular players, say, the first, the second, and the third, will get whole suits each.

(d) Explain that p₁₂₃₄, the probability that all players will get whole suits, is equal to p₁₂₃.

(e) Write a formula for the probability that at least one player will get a whole suit in terms of the above probabilities. (Advice: Formula (2.5.6) may help.)