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?

Question

Mathematics

Nathalia Lara

9 May, 20:51

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?

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Answers (2)

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Aubrey Daniels · Answer 1

Aubrey Daniels 9 May, 22:26

0

The answer should be "1/208"

Van Walton · 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