a. Find the probability that an ordinary coin was selected, given that heads was the result of the toss. b. Find the probability that the 2-headed coin was selected, given that heads was the result of the toss. c. Find the probability that an ordinary coin was selected, given that tails was the result of the toss.

a. Find the probability that an ordinary coin was selected, given that heads was the result of the toss. b. Find the probability that the 2-headed coin was selected, given that heads was the result of the toss. c. Find the probability that an ordinary coin was selected, given that tails was the result of the toss.

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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Question

There are 5 coins in a box. One of the coins has 2 heads and the other 4 are ordinary coins. A coin is selected at random from the box and is tossed, and you are told the outcome of the toss.

a. Find the probability that an ordinary coin was selected, given that heads was the result of the toss.

b. Find the probability that the 2-headed coin was selected, given that heads was the result of the toss.

c. Find the probability that an ordinary coin was selected, given that tails was the result of the toss.

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