Q4: A deck of playing cards consists of 8 Heart cards, 9 Diamond cards, and 2 Spade cards. If three cards are drawn at random, in a row, without return. Calculate the following using the decision tree method: 1- The probability that all cards are of the same type. 2- Possibility that the first card is Diamond, the second is Heart, and the third is Spade. 3- The possibility that none of the cards is of type Spade, 4- The possibility that the second card is of type Spade

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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Q4: A deck of playing cards consists of 8 Heart cards, 9 Diamond cards, and 2 Spade cards. If three
cards are drawn at random, in a row, without return. Calculate the following using the decision tree method:
1- The probability that all cards are of the same type.
2- Possibility that the first card is Diamond, the second is Heart, and the third is Spade.
3- The possibility that none of the cards is of type Spade,
4- The possibility that the second card is of type Spade
Transcribed Image Text:Q4: A deck of playing cards consists of 8 Heart cards, 9 Diamond cards, and 2 Spade cards. If three cards are drawn at random, in a row, without return. Calculate the following using the decision tree method: 1- The probability that all cards are of the same type. 2- Possibility that the first card is Diamond, the second is Heart, and the third is Spade. 3- The possibility that none of the cards is of type Spade, 4- The possibility that the second card is of type Spade
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