An unbiased coin is tossed 3 times. If the th | vedclass

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(A) Let the outcomes of the three tosses be $(T_1, T_2, T_3)$. The total sample space $S$ has $2^3 = 8$ outcomes: $\{HHH, HHT, HTH, HTT, THH, THT, TTH

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$3/4$

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(A) Let the outcomes of the three tosses be $(T_1, T_2, T_3)$. The total sample space $S$ has $2^3 = 8$ outcomes: $\{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT\}$.Given that the third toss is a head $(T_3 = H)$,the reduced sample space $S'$ consists of outcomes where the third toss is $H$: $S' = \{HHH, HTH, THH, TTH\}$.The number of elements in the reduced sample space is $n(S') = 4$.We want the probability of getting at least one more head in the first two tosses. The favorable outcomes in $S'$ are $\{HHH, HTH, THH\}$.Thus,the number of favorable outcomes is $n(E) = 3$.The required probability is $P = \frac{n(E)}{n(S')} = \frac{3}{4}$.

An unbiased coin is tossed $3$ times. If the third toss results in a head,what is the probability of getting at least one more head in the first two tosses?

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