A biased coin with the probability of getting head equal to 1 4 is tossed five times. What is the probability of getting tail in all the first four tosses followed by head?

NDA 2023 Mathematics question

A biased coin with the probability of getting head equal to is tossed five times. What is the probability of getting tail in all the first four tosses followed by head?

(A)
(B)Correct
(C)
(D)

Answer: (B)

Solution

, , and the tosses are independent. $P(TTTTH) =

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Question ID VK-029634