For the purposes of this problem, suppose that the Bingo master chooses numbers with replacement. a. What is the probability that the first 3 numbers called will be in increasing order? b. What is the probability that the first N numbers called will be in increasing order?
For the purposes of this problem, suppose that the Bingo master chooses numbers with replacement. a. What is the probability that the first 3 numbers called will be in increasing order? b. What is the probability that the first N numbers called will be in increasing order?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A 'bingo' card has 5 columns and 5 rows. The 5 columns are labeled B,I,N,G,O. The squares in the 'B' column contain numbers from 1-15, chosen randomly. The square in the 'I','N','G', and 'O' columns contain numbers from 16-30, 31-45,46-60, and 61-75 respectively. All numbers are chosen randomly. The square in the center of the card (in the I column) is marked 'Free'.Each player has a bingo card. The Bingo master has a pot containing 75 markers that correspond to the 75 possible markings of the Bingo squares--i.e. B1-B15,I16-I30,…O61-O75. He chooses markers randomly one by one without replacement, and calls out the letter and number. A player gets 'Bingo' if he gets 5 numbers in a row, or 5 numbers in a column, or 5 on the diagonal (note the '0' is the center is automatically filled).
Transcribed Image Text:. For the purposes of this problem, suppose that the Bingo
master chooses numbers with replacement.
a. What is the probability that the first 3 numbers called
will be in increasing order?
b. What is the probability that the first N numbers called
will be in increasing order?
Transcribed Image Text:10
BINGO
4 27 32 55 73
15 25 41 58 75
8 26 59 70
7 22 33 54 62
13 17 43 48 67
Expert Solution
Step 1: Write the given information.
| B | I | N | G | O |
| 4 | 27 | 32 | 55 | 73 |
| 15 | 25 | 41 | 58 | 75 |
| 8 | 26 | 0 | 59 | 70 |
| 7 | 22 | 33 | 54 | 62 |
| 13 | 17 | 43 | 48 | 67 |
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