A coin is tossed twice. Let $E$ and $F$ be the following events:
$E:$ The first toss shows heads.
$F:$ The second toss shows heads.
a.) Are the events $E$ and $F$ independent?
Yes, because the occurrence of one event doesn't affect the probability of another event.
b.) Find the probability of showing heads on both tosses.
If the events $E$ and $F$ are independent in a sample, then the probability of $E$ and $F$ is
$
\begin{equation}
\begin{aligned}
P(E \bigcap F) =& P(E) P(F)
\\
\\
=& \left( \frac{1}{2} \right) \left( \frac{1}{2} \right)
\\
\\
=& \frac{1}{4}
\\
\\
=& 0.25
\end{aligned}
\end{equation}
$
Saturday, July 18, 2015
College Algebra, Chapter 10, 10.3, Section 10.3, Problem 54
Subscribe to:
Post Comments (Atom)
Why is the fact that the Americans are helping the Russians important?
In the late author Tom Clancy’s first novel, The Hunt for Red October, the assistance rendered to the Russians by the United States is impor...
-
Lionel Wallace is the subject of most of "The Door in the Wall" by H.G. Wells. The narrator, Redmond, tells about Wallace's li...
-
There are a plethora of rules that Jonas and the other citizens must follow. Again, page numbers will vary given the edition of the book tha...
-
In the late author Tom Clancy’s first novel, The Hunt for Red October, the assistance rendered to the Russians by the United States is impor...
-
The poem contrasts the nighttime, imaginative world of a child with his daytime, prosaic world. In the first stanza, the child, on going to ...
-
Robinson Crusoe, written by Daniel Defoe, is a novel. A novel is a genre defined as a long imaginative work of literature written in prose. ...
-
In Celie's tenth letter to God, she describes seeing her daughter in a store with a woman. She had not seen her daughter since the night...
-
Let's start with terms: "expected value" means the average amount that you would win or lose over a large number of plays. The...
No comments:
Post a Comment