The probability of getting heads in all the t | vedclass

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(D) When a balanced coin is tossed $3$ times,the total number of possible outcomes is $2^3 = 8$.The sample space $S$ is given by: $S = \{HHH, HHT, HTH

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$\frac{1}{8}$

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(D) When a balanced coin is tossed $3$ times,the total number of possible outcomes is $2^3 = 8$.The sample space $S$ is given by: $S = \{HHH, HHT, HTH, THH, HTT, THT, TTH, TTT\}$.The favorable outcome for getting heads in all three trials is only one: $\{HHH\}$.Therefore,the required probability $P = \frac{	ext{Number of favorable outcomes}}{	ext{Total number of outcomes}} = \frac{1}{8}$.

The probability of getting heads in all the three trials,when a balanced coin is tossed thrice,is

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