Try the fastest way to create flashcards
Question

# A fair coin is tossed four times. What is the probability of obtaining. Exactly on e head?

Solution

Verified
Step 1
1 of 2

Let event of getting an head is a success then:

$p=\dfrac{1}{2}$

$q=1-\dfrac{1}{2}=\dfrac{1}{2}$

Evaluating probability of getting 1 head, using Bernoulli Trial:

\begin{align*} _4C_1p^1q^{4-1}&=\dfrac{4!}{1!(4-1)!}\left(\dfrac{1}{2}\right)^1\left(\dfrac{1}{2}\right)^{4-1}\\ &=\dfrac{4!}{1!(3)!}\left(\dfrac{1}{2}\right)^1\left(\dfrac{1}{2}\right)^{3}\\ &=4 \times\left(\dfrac{1}{2^4}\right)\\ &=\dfrac{1}{4}\\ &=\textcolor{#4257b2}{0.25} \end{align*}

## Recommended textbook solutions #### Excursions in Modern Mathematics

9th EditionISBN: 9780134469096Peter Tannenbaum
2,681 solutions #### Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences

14th EditionISBN: 9780134675985 (3 more)Christopher J. Stocker, Karl E. Byleen, Michael R. Ziegler, Raymond A. Barnett
3,808 solutions #### Finite Mathematics

11th EditionISBN: 9780321979438 (1 more)Margaret L. Lial, Nathan P. Ritchey, Raymond N. Greenwell
5,112 solutions #### Mathematical Excursions

4th EditionISBN: 9781305965584Daniel K. Clegg, Joanne Lockwood, Richard D. Nation, Richard N. Aufmann
4,593 solutions