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Math

Probability

expected winnings

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 box contains 6 card labelled 1,2,3,4,6, and 8. A game consists of drawing two cards in succession at random and without replacement and writing the digits from left to right in the order drawn (for example, drawing 3 and then 8 would yield the number 38, while drawing 8 and then 3 would yield the number 83). If the number thus constructed is greater than 50, then the player wins $20. If the number thus constructed is less than 50 but even, the player wins $10. Otherwise, the player loses $20. What is a player's expected winnings on this game (in dollars)?

An experiment consists of first drawing a ball from box I (which contains one red and two
blue balls), noting the color, and placing the ball in box II (which initially contained two red
and two blue balls). Next a ball is drawn from box II and the color is noted. If it is known
that both a red and a blue ball were drawn, what is the probability that the red ball came from
box II?
а) 23
b) 25
с) 3/5
d) 1/3
e) none of the others

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