A Bingo card consists of a square containing 25 smaller squares, as shown in the
ID: 3298136 • Letter: A
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 diagonal row. Suppoedyou are playing Bingo with the card in the fingure.
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. What is the probility that the second number called is on your card.
B I N G O 14 21 39 47 68 7 22 44 53 64 3 16 FREE 60 61 1 29 42 46 75 13 18 31 59 71Explanation / Answer
a) The total number of numbers that could be called are numbers from 1 to 75.
There are a total of 24 distinct numbers on our ticket, therefore the probability that the first number called is on our card could be computed as:
= 24 / 75
= 0.32
Therefore 0.32 is the required probability here.
b) Probability that G59 is the first number is called could be computed as
= 1/ Total number of numbers that could be called
= 1/ 75
= 0.0133
Therefore 0.0133 is the required probability here.
c) Probability that the first number called is in our N column
= Total number of numbers in N column / Total number of numbers that could be called
= 4 / 75
= 0.0533
Therefore 0.0533 is the required probability here.
d) Given that the first number called is not on your card, probability that the second number called is on our card would be computed as:
= total number of numbers on our card still uncancelled / Total number of numbers left to be called
= 24 / (75-1)
= 24/74
= 0.3243
Therefore 0.3243 is the required probability here.
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