The probability of getting head and tail alte | vedclass

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Question

(B) When three coins are tossed,the total number of possible outcomes is $2^3 = 8$.The sample space is $S = \{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT\}

Vedclass · Accepted Answer

$\frac{1}{4}$

Vedclass · Answer

(B) When three coins are tossed,the total number of possible outcomes is $2^3 = 8$.The sample space is $S = \{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT\}$.We are looking for outcomes where heads and tails appear alternately.The favorable outcomes are $HTH$ and $THT$.Thus,the number of favorable outcomes is $2$.The probability is calculated as $\frac{	ext{Number of favorable outcomes}}{	ext{Total number of outcomes}} = \frac{2}{8} = \frac{1}{4}$.

The probability of getting head and tail alternately in three throws of a coin (or a throw of three coins) is:

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