a. The Bingo master starts a new round. What is the probability that the first 3 numbers will be called in increasing order? b. Give a general formula for the probability that the first Chapter2 combinatorics Page 1 N numbers will be called in increasing order.

a. The Bingo master starts a new round. What is the probability that the first 3 numbers will be called in increasing order? b. Give a general formula for the probability that the first Chapter2 combinatorics Page 1 N numbers will be called in increasing order.

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).

a. The Bingo master starts a new round. What is the
probability that the first 3 numbers will be called in
increasing order?
b. Give a general formula for the probability that the first
Chapter2 combinatorics Page 1
N numbers will be called in increasing order.

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

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