bag contains 4 coins. You are told that one of them is normal coin; 2 coins are double headed, and 1 is double tailed. You pick out a coin C from the bag uniformly at ramdom. First, you toss C for first time. What is the probability that the lower face of the coin is heads? Then , you check and see that the upper face of the coin C is a head. What is the conditional probability that the lower face is

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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A bag contains 4 coins. You are told that one of them is normal coin; 2 coins are double headed, and 1 is double tailed.

You pick out a coin C from the bag uniformly at ramdom.

  • First, you toss C for first time. What is the probability that the lower face of the coin is heads?
  • Then , you check and see that the upper face of the coin C is a head. What is the conditional probability that the lower face is head?
  • Finally, you use the same coin C toss it second time. What is the probability that the lower face is still head(i.e.  first toss is head,second toss is still head)
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