Question

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?

• A. Two T will occur
• B. One H and one T will occur
• C. Two H will occur
• D. One H will be followed by one T.

Answer 1

The correct option is B One H and one T will occur

In 4th trial 1st four outcomes are given which are as follows:
(HHHT ... ...)
So, last two possible outcomes will be as follows:
(HH), (HT), (TH), (TT)
Favourable cases for occuring 2H in last two tosses = 1
Favourable cases for occuring one H and one T in last two tosses = 2
Favourable cases for occuring 2T in last two tosses = 1
Obviously one H and one T has the highest probability of occuring in last two tosses.