{enumerate} m Find the conditional probability that both coins show a head given the first shows a head. m Find the conditional probability that both coins show a head given at least one of them is a head. {enumerate}
{enumerate} m Find the conditional probability that both coins show a head given the first shows a head. m Find the conditional probability that both coins show a head given at least one of them is a head. {enumerate}
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

Transcribed Image Text:Suppose we model tossing a coin with two outcomes, H and T, representing heads and tails. Let
Pr(H) = Pr(T)
{H, T}² represents two coin tosses and that the tosses are
independent.
=
Suppose Ω
=
\begin{enumerate}
\item Find the conditional probability that both coins show a head given the first shows a head.
\item Find the conditional probability that both coins show a head given at least one of them is a head.
\end{enumerate}
Expert Solution

Step 1
In tossing a coin two times, the possible outcomes are
{(H, H), (H,T), (T, H), (T, T)}
Let us define some events
A : both coin shows head.
B : first coin shows head.
C : at least a coin shows head.
Step by step
Solved in 4 steps with 1 images

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