MAT Exam 2021 Paper

Concept:For a fair coin, every toss is independent, so the probability of getting a head or a tail on the next toss is always $\frac{1}{2}$, regardless of previous outcomes.Explanation:Quantity A asks for the probability of getting a head after five consecutive tails.The five tails have already occurred, so the next toss is a fresh toss of a fair coin.Therefore, $P(A) = \frac{1}{2}$.Quantity B asks for the probability of getting a tail after four consecutive heads.The four heads have already occurred, so the next toss is again a fresh toss of the same fair coin.Therefore, $P(B) = \frac{1}{2}$.Since $P(A) = P(B) = \frac{1}{2}$, the two quantities are equal.Answer:(c) if Quantities A and B are equal.