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A coin is tossed thrice. What is the probability of getting the same outcome (head or tail) in the first two rounds same and a different outcome in the last throw?

A coin is tossed thrice. What is the probability of getting the same outcome (head or tail) in the first two rounds same and a different outcome in the last throw? Correct Answer 1/4

Given: 

A fair coin is tossed thrice.

Formula:

Probability = Favourable cases/Total outcomes

Calculation:

Let head be denoted by h and tail be denoted by t.

The possible outcomes are:

⇒ hhh, hht, htt, hth, thh, tht, tth, ttt

⇒ Total cases = 8

⇒ Required cases = hht, tth

Hence, the probability is 2/8 = 1/4

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