   Chapter 8, Problem 1T ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# If a coin is “loaded” so that the probability that a head will occur on each toss is 1/3, what is the probability that(a) 3 heads will result from 5 tosses of the coin?(b) at least 3 heads will occur in 5 tosses of the coin?

(a)

To determine

To calculate: The probability that 3 heads will result from 5 tosses of the coin if the probability of head will occur on each toss is 13.

Explanation

Given Information:

The probability of head on each toss is 13.

Formula used:

The probability of x successes in n trials is:

Pr(x)=(nx)pxqnx

Where p is probability of success,

q is the probability of failure.

The value of (nx) is:

(nx)=n!n!(nx)!

Calculation:

Consider the provided data,

The probability of head on each toss is 13.

So, p=13.

And,

q=1p=113=23

Probability that 3 heads will come is Pr(3)

(b)

To determine

To calculate: The probability that at least 3 heads will result from 5 tosses of the coin if the probability of head on each toss is 13.

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