You are given a bag with 1000 coins, all of which are fair except one that has heads on both sides. You pick one at random with equal probability and begin tossing without knowing if the coin is fair or not. The first n tosses are heads. How large does n need to be so that there is at least 90% probability the coin is two-headed?

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...
icon
Related questions
Question
100%

You are given a bag with 1000 coins, all of which are fair except one that has heads on both sides. You pick one at random with equal probability and begin tossing without knowing if the coin is fair or not.  The first n tosses are heads.  How large does n need to be so that there is at least 90% probability the coin is two-headed? 

Expert Solution
Step 1

Given a bag with 1000 coins, all of which are fair except one that has heads on both sides. One coin is chosen at random with equal probability and begin tossing without knowing if the coin is fair or not. The first n tosses are heads.

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON