Question

Let X represent the difference between the number of heads and the number of tails when a coin is tossed 6 times. What are the possible values of X?

Answer 1

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 outcomes are possible:

Let H denotes heads and T denotes tails

Outcomes: 6H0T( 6 heads 0 Tails), 5H1T, 4H2T, 3H3T, 2H4T and 1H5T

∴ differences can be 6, 4, 2, 0, -2 and -4

∴ X can take values -4, -2, 0, 2, 4 or 6 …