Home Maths Probability Problem Based on Binomial Distribution / Expectation / Mean In a bag there are three tickets numbered 1,…
Maths Probability Problem Based on Binomial Distribution / Expectation / Mean Single Correct MCQ
Published on: August 13, 2026

In a bag there are three tickets numbered 1, 2, 3. A ticket is drawn at random and put back and this is done four times. The probability that the sum of the numbers is even, is

A
B
C
D
None of these

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Text Solution

Verified by Experts
The correct answer is:
A

The total number of ways of selecting 4 tickets .

The favourable number of ways

= sum of coefficients of in

= sum of coefficients of in

Let

Then , (On putting

and , (On putting

Thus sum of the coefficients of

Hence the required probaility

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