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## An unbiased coin is tossed six times in a row and four different such trials are conducted. One trial implies six tosses of the coin. If H stands for head and T stands for tail, the following are the observations from the four trials: (1) HTHTHT (2) TTHHHT (3) HTTHHT (4) HHHT__ __. Which statement describing the last two coin tosses of the fourth trial has the highest probability of being correct?

Asked On2019-04-07 17:07:04 by:Rohit498

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Download question setAnswersHere option B is correct.

Explanation:

It has probability12 $\frac{1}{2}$ in contrast to the other options that all have probability 14 $\frac{1}{4}$.

A) TT has probability14 $\frac{1}{4}$

B) HT or TH has probability14+14 $\frac{1}{4}+\frac{1}{4}$ (summation of two probabilities of mutually exclusive events)

C) HH has probability14 $\frac{1}{4}$

D) HT has probability14 $\frac{1}{4}$

Essential for this conclusion is the fact that the coin is unbiased.

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