Answer to Question #305573 in Statistics and Probability for Bien

Question

Three coins are tossed.Let T be the random variable representing the number of tails that occur. Find the values of the random variable T.

Answer 1

Given T is the random variable representing the number of tails that occur, let H be the random variable representing the number of heads that occur.

If the three coins are tossed, the possible outcomes are:

1) 3 heads and no tails occurring; {HHH}, then, T=0

2) 2 heads and 1 tail occurring; {HHT, HTH, THH}, then, T=1

3) 1 head and 2 tails occurring; {HTT, THT,TTH} , then, T=2

4) 3 tails and no head occurring; {TTT} , then, T=3

Therefore, the values of the random variable T are 0, 1, 2, 3.