There are 13 coins inside a box. Three has two heads and one has two tails and the others are normal. All are equally likely to come up on either side when tossed. Sir Franz randomly draws a coin from the box and without checking the coin, he tosses it two times. If it comes up heads on all two tosses, what is the probability that the coin is a double - headed coin?

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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There are 13 coins inside a box. Three has two heads and one has two tails and the others are
normal. All are equally likely to come up on either side when tossed. Sir Franz randomly draws
a coin from the box and without checking the coin, he tosses it two times. If it comes up heads
on all two tosses, what is the probability that the coin is a double - headed coin?
4/7
2/3
1/3
3/7
Transcribed Image Text:There are 13 coins inside a box. Three has two heads and one has two tails and the others are normal. All are equally likely to come up on either side when tossed. Sir Franz randomly draws a coin from the box and without checking the coin, he tosses it two times. If it comes up heads on all two tosses, what is the probability that the coin is a double - headed coin? 4/7 2/3 1/3 3/7
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