Consider a roulette wheel consisting of 38 numbers 1

Chapter 4, Problem 71P

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QUESTION:

Problem 71P

Consider a roulette wheel consisting of 38 numbers 1 through 36, 0, and double 0. If Smith always bets that the outcome will be one of the numbers 1 through 12, what is the probability that

(a) Smith will lose his first 5 bets;

(b) his first win will occur on his fourth bet?

Questions & Answers

QUESTION:

Problem 71P

Consider a roulette wheel consisting of 38 numbers 1 through 36, 0, and double 0. If Smith always bets that the outcome will be one of the numbers 1 through 12, what is the probability that

(a) Smith will lose his first 5 bets;

(b) his first win will occur on his fourth bet?

ANSWER:

Solution:

Step 1 of 2:

A roulette wheel consisting of 38 numbers.

Smith bets that the outcome will be one of the numbers 1 through 12.

  1. We have to find the probability that Smith will lose his first 5 bets.
  2. We have to find the probability that his first win will occur on his fourth bet.

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