9. A card is drawn from a deck of 52 cards. If the suit of the card is a heart or a spade, a fair coin is tossed once; otherwise, a fair coin is tossed twice. Let X be the number of tails obtained. a. List down the sample points in the sample space. b. Solve for the probability distribution of X and present the probability distribution in table form. Please show your solution.

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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9.
A card is drawn from a deck of 52 cards. If the suit of the card is a heart or a spade,
a fair coin is tossed once; otherwise, a fair coin is tossed twice. Let X be the number of tails
obtained.
a. List down the sample points in the sample space.
b. Solve for the probability distribution of X and present the probability distribution in
table form. Please show your solution.
Transcribed Image Text:9. A card is drawn from a deck of 52 cards. If the suit of the card is a heart or a spade, a fair coin is tossed once; otherwise, a fair coin is tossed twice. Let X be the number of tails obtained. a. List down the sample points in the sample space. b. Solve for the probability distribution of X and present the probability distribution in table form. Please show your solution.
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