Question

A fair coin is tossed three times and a T (for tails) or H (for heads) is recorded, giving us a list of length 3. Let X be the random variable which is zero if no T has another T adjacent to it, and is one othetwise. Let Y denote the random variable that counts the number of T's in the three tosses. Find P(X=1, Y=2).
A) 1/8
B) 2/8
C) 5/8
D) 7/8

Answer 1

b) 2/8 is the answer

Answer 2

Given:

A fair coin is tossed three times and a T (for tails) or H (for heads) is recorded, giving us a list of length 3.

Let X is the random variable which is zero if no T has another T adjacent to it, and is one otherwise.

Let Y denote the random variable that counts the number of T's in the three tosses.

The correct answer is option B that is 2/8.