Question

Three coins are tosed simultaneously. Let random variable X be the absolute difference between the number of heads and number of tails obtained at each throw. The values assumed by X are:

Answer 1

Here given that, three coins are tossed simultaneously hence we get sample space,

S= { HHH, HHT, HTH, THH, THT, TTH, HTT, TTT}

X is a random variable which represents absolute difference between the number of heads and number of tails obtained when three coins are tossed.

Possible values of X are,

1) a) {3H, 0T} = 3.

b) {3T, 0H} = 3.

2) a) {2H, 1T} = 1.

b) {2T, 1H} = 1.

Hence the given random variable X takes values 1,3