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  • Provide solution for RD Sharma maths class 12 chapter 31 Mean and Variance of a Random Variable exercise 31.1 question 26 maths textbook solution

Provide solution for RD Sharma maths class 12 chapter 31 Mean and Variance of a Random Variable exercise 31.1 question 26 maths textbook solution

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Answer: X can take values -4, -2, 0, 2, 4 or 6

Hint: use probability concept

Given: Let X represent the difference between the no. of heads and the no. of tails when a coil is tossed 6 times. What are the possible values of X?

Solution: Since X represents the difference between some heads and number of tails when a coin is tossed 6 times.

As the coin is tossed 6 times following outcome are possible

Let H denoted heads and T denotes tails.

Outcomes: 6H 0T (6 Heads 0 tails), 5H 1T, 4H 2T, 3H 3T, 2H 4T and 1H 5T

∴ Difference can be |6-0|,|5- 1|, |4-2|,|3-3| ,| 2-4| and |1-5|

∴X can take value  0, 2, 4 & 6

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