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From an ordinary deck of 52 cards we draw cards at random, with replacement, and successively until an ace is drawn. What is the probability that it takes an even number of draws to get the first spade?

From an ordinary deck of 52 cards we draw cards at random, with replacement, and successively until an ace is drawn. What is the probability that it takes an even number of draws to get the first spade?

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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From an ordinary deck of 52 cards we draw cards at random, with replacement, and successively until an ace is drawn. What is the probability that it takes an even number of draws to get the first spade? PCX=2) + P (X=4) + P(X+6) + ... =P (Even #) (²12) (²2²) + ( 2 ) (6₂)² + (32)(82) 48 485 Geo series 12,3 ( 13 ) ( 13 ) + (1 3) ( 13² )² + (1 3) (+) ³ +... S = 12/164 - 1²/3 12 1/13 a= f=ts 12 169
Transcribed Image Text:From an ordinary deck of 52 cards we draw cards at random, with replacement, and successively until an ace is drawn. What is the probability that it takes an even number of draws to get the first spade? PCX=2) + P (X=4) + P(X+6) + ... =P (Even #) (²12) (²2²) + ( 2 ) (6₂)² + (32)(82) 48 485 Geo series 12,3 ( 13 ) ( 13 ) + (1 3) ( 13² )² + (1 3) (+) ³ +... S = 12/164 - 1²/3 12 1/13 a= f=ts 12 169
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