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Math
Probability
You and your friends are playing a game where there are 10 cards: 5 are red, 3 are blue, and 2 are green. Each player draws one card without replacement. The player who draws a green card is the winner. (a) If you have a choice of drawing first, second, or third, which position would you choose? Justify your choice on the basis of probability. (b) Now, suppose there are 4 green cards and 6 red cards in the deck. What position would you now choose? Justify your choice on the basis of probability. (c) Assuming that there is always at least one green card in the deck, what should be the number of green cards so that it would not matter for you to draw first or second? Justify your choice on the basis of probability.

You and your friends are playing a game where there are 10 cards: 5 are red, 3 are blue, and 2 are green. Each player draws one card without replacement. The player who draws a green card is the winner. (a) If you have a choice of drawing first, second, or third, which position would you choose? Justify your choice on the basis of probability. (b) Now, suppose there are 4 green cards and 6 red cards in the deck. What position would you now choose? Justify your choice on the basis of probability. (c) Assuming that there is always at least one green card in the deck, what should be the number of green cards so that it would not matter for you to draw first or second? Justify your choice on the basis of probability.

A First Course in Probability (10th Edition)
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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Note: As soon as a player picks a green they win..

You and your friends are playing a game where there are 10 cards: 5 are red, 3 are blue, and 2 are green. Each player draws one card without replacement. The player who draws a green card is the winner. (a) If you have a choice of drawing first, second, or third, which position would you choose? Justify your choice on the basis of probability. (b) Now, suppose there are 4 green cards and 6 red cards in the deck. What position would you now choose? Justify your choice on the basis of probability. (c) Assuming that there is always at least one green card in the deck, what should be the number of green cards so that it would not matter for you to draw first or second? Justify your choice on the basis of probability.
Transcribed Image Text:You and your friends are playing a game where there are 10 cards: 5 are red, 3 are blue, and 2 are green. Each player draws one card without replacement. The player who draws a green card is the winner. (a) If you have a choice of drawing first, second, or third, which position would you choose? Justify your choice on the basis of probability. (b) Now, suppose there are 4 green cards and 6 red cards in the deck. What position would you now choose? Justify your choice on the basis of probability. (c) Assuming that there is always at least one green card in the deck, what should be the number of green cards so that it would not matter for you to draw first or second? Justify your choice on the basis of probability.
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