Three coins are tossed once. Find the probability of getting no head.
Three coins are tossed once. Find the probability of getting no head.
When three coins are tossed once, the sample space is given by $S =\{ HHH , HHT , HTH , THH , HTT , THT , TTH , TTT \}$
$\therefore$ Accordingly, $n ( S )=8$
It is known that the probability of an event $A$ is given by
$P ( A )=\frac{\text { Number of outcomes favourable to } A }{\text { Total number of possible outcomes }}=\frac{n( A )}{n( S )}$
Let $F$ be the event of the occurrence of no head.
Accordingly, $F=\{TTT\}$
$\therefore P ( F )=\frac{n( F )}{n(S)}=\frac{1}{8}$
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