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(A) In the experiment of tossing three balanced coins simultaneously,the sample space $S$ consists of the following elementary outcomes:$S = \{(HHH),

Vedclass · Accepted Answer

$\frac{1}{2}$

Vedclass · Answer

(A) In the experiment of tossing three balanced coins simultaneously,the sample space $S$ consists of the following elementary outcomes:$S = \{(HHH), (HHT), (HTH), (THH), (HTT), (THT), (TTH), (TTT)\}$where $H$ represents head and $T$ represents tail.Total number of elementary outcomes $= 8$.Let event $A$ be the event of receiving at least two heads (i.e.,$2$ or $3$ heads).The outcomes favourable to event $A$ are: $(HHH), (HHT), (HTH), (THH)$.Number of favourable outcomes $= 4$.The probability of event $A$ is given by $P(A) = \frac{	ext{Number of favourable outcomes}}{	ext{Total number of outcomes}}$.$P(A) = \frac{4}{8} = \frac{1}{2}$.Thus,the probability of receiving at least two heads is $\frac{1}{2}$.

Three balanced coins are tossed simultaneously. Find the probability of receiving at least two heads.

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