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Q.

Find the chance of throwing head and tail alternatively in three successive tossings of the coin.

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a

\frac{1}{4}

b

\frac{1}{2}

c

\frac{1}{3}

d

\frac{16}{3}

answer is A.

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Detailed Solution

Considering an experiment of throwing a coin thrice.

The sample of the experiment can be written as S={HHH,HHT,HTH,HTT,THH,TTH,THT,TTT}
The total number of outcomes = 8

Let E: event of getting head and tail alternatively in three successive trails.

So, the only possible outcomes are {HTH,THT}

Hence, the number of possible outcomes = 2
The probability of an event E is given by =

\frac{Number of favourable outcomes}{Total number of outcomes}

Therefore

, P (E) = \frac{2}{8} = \frac{1}{4}

Thus, there is a chance of throwing head and tail alternatively in three successive tossings of the coin is

\frac{1}{4} .

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