   Chapter 9.9, Problem 25ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# A coin is loaded so that the probability of heads is 0.7 and the probability of tails is 0.3. Suppose that the coin is tossed twice and that the results of the tosses are independent. a. What is the probability of obtaining exactly two heads? b. What is the probability of obtaining exactly one head? c. What is the probability of obtaining no heads? d. What is the probability of obtaining at least one head?

To determine

To find out the probability of obtaining exactly two heads.

Explanation

Given information:

The probability of heads is 0.7 and the probability of tails is 0.3. The coin is tossed two times and results of tosses are independent.

Calculation:

According to the given information the following things can be written

Sample space for tossing the coins two times is

S={TT,TH,HT,HH}P(H)=0

To determine

To find out the probability of obtaining exactly one head.

To determine

To find out the probability of obtaining exactly no heads.

To determine

To find out the probability of obtaining at least one head.

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