Question

A compound experiment consists of tossing a coin, drawing a letter at random from the alphabet, and then tossing two coins. What is the probability of getting a tail, the letter T, and then two tails?

Answer 1

The answer should be "1/208"

Answer 2

We should each take these probabilities first individually.
Probability of tails in a coin toss = 1/2
Probability of drawing letter T from the alphabet = 1/26
Probability of 2 tails in 2 coin toss = 1/4
Sample space = {HH, TT, HT, TH}

Add these together since these events happen after another = 1/2 + 1/26 / + 1/4 = 41/52

The final probability is 41/52