1. A bridge hand consists of thirteen cards drawn from a deck of 52 cards. Each card...

Question:

1. A bridge hand consists of thirteen cards drawn from a deck of 52 cards. Each card has one of 13 ranks (2, 3, 4, . . . , 10, jack, queen, king, ace) and one of four suits (spades, hearts, diamonds, clubs). What is the probability of each of the following suit distributions in a bridge hand?
(a) 4-3-3-3. That is, four cards of one suit and three cards of each of the other three suits. The number of hands having this is 4 ( C(13, 4) ( C(13, 3) ( C(13, 3) ( C(13, 3).
(b) 4-4-3-2. That is, four cards of each of two suits, three cards of another suit, and two cards of the remaining suit?
2. The winner of the Powerball lottery must correctly pick a set of 5 numbers from 1 through 69 and then correctly pick one number (called the Powerball) from 1 through 26.
(a) What is the probability of winning the Powerball lottery?
(b) What are the odds of winning the Powerball lottery?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...