Answered: What is the probability that there will…

What is the probability that there will be at least 2 N's and exactly 4 B's in the first 12 numbers? (Hint: choose the B's first)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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Question

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).

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

. What is the probability that there will be at least 2 N's and
exactly 4 B's in the first 12 numbers? (Hint: choose the B's
first)

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Step 2: Determine number of ways to select at least 2 N's and exactly 4 B's in first 12 number.

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Step 3: Determine the probability that there will be at least 2 N's and exactly 4 B's in first 12 number.

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