Three coins are tossed once. Find the probabi | vedclass

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(A) When three coins are tossed once,the sample space $S$ is given by:$S = \{HHH, HHT, HTH, THH, HTT, THT, TTH, TTT\}$Therefore,the total number of po

Vedclass · Accepted Answer

$1/8$

Vedclass · Answer

(A) When three coins are tossed once,the sample space $S$ is given by:$S = \{HHH, HHT, HTH, THH, HTT, THT, TTH, TTT\}$Therefore,the total number of possible outcomes is $n(S) = 8$.Let $G$ be the event of getting $3$ tails. The favorable outcome is:$G = \{TTT\}$Therefore,the number of favorable outcomes is $n(G) = 1$.The probability of event $G$ is given by:$P(G) = \frac{n(G)}{n(S)} = \frac{1}{8}$

Three coins are tossed once. Find the probability of getting $3$ tails.

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