Answer to Question #81422 in Statistics and Probability for Dgfff

Question

1 point
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