A BINGO card consists of a square containing 25 smaller squares, as shown in the

Question

A BINGO card consists of a square containing 25 smaller squares, as shown in the figure. Five numbers from 1 to 15 are placed under the letter B, five numbers from 16 to 30 are placed under the letter I, four numbers from 31 to 45 along with the “free space” are placed under the letter N, five numbers from 46 to 60 are placed under the letter G, and five numbers from 61 to 75 are placed under the letter O. When a regular Bingo game is played, the numbers from 1 to 75 are randomly called until someone’s card has five numbers in a horizontal, vertical, or diagonal row. Suppose you are playing Bingo with the card in the figure. Answer the following questions:

a. What is the probability that the first number called is on your card?

b. What is the probability that G-59 is the first number called?

c. What is the probability that the first number called is in your N column?

d. Suppose the first number called is not on your card.

e. What is the probability that the second number called is on your card?

1421 | 39 | 47 | 68 | 22 | 44 | 53 | 64 | 16 | FREE | 60 | 61 29 | 42 | 46 | 75 13 | 18 | 31 | 59 | 71 0841-5-1 66677 73069 45645 94 21 34 112698 122628 1-22-21 B 14-73-3

Explanation / Answer

a) What is the probability that the first number called is on your card?

Required probability = 1/75 = 0.01333

b) What is the probability that G-59 is the first number called?

Required probability = 1/74 = 0.01351

c) What is the probability that the first number called is in your N column?

Required probability = 1/(75-30) = 1/45 = 0.02222

d) Suppose the first number called is not on your card. What is the probability that the second number called is on your card?

Required probability = 1/60 = 0.01667

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