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Chapter 4: Q.4.5 (page 163)

Let X represent the difference between the number of heads and the number of tails obtained when a coin is tossed n times. What are the possible values of X?

Short Answer

Expert verified

Possible values of X can be described by:

{n-2t∣t∈{0,1,…,n}}

Step by step solution

01

Step1:Given Information

X - It is the difference between the number of heads and the number of tails.

02

Step2:Explanation

Possible outcomes of X, when a coin is tossed n times are:

If the number of tails is t, then the number of heads(h) is n-t.

h=n-t

Therefore X can be written as:

X=h-t=n-t-t=n-2t

All possible outcomes of X can be described as below:

{n-2t∣t∈{0,1,…,n}}

03

Step3: Final Result

Possible values of X are given below: {n-2t∣t∈{0,1,…,n}}


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