Question

Harpreet tosses two different coins simultaneously (say, one is of Re 1 and other of Rs. 2). What is the probability that she gets at least one head?

Answer 1

$\tt\it\bf\it\large\bm{\mathcal{\fcolorbox{blue}{white}{\blue{Given:-}}}}$

Two coins of Rs 1 and Rs 2 tossed simultaneously

$\tt\it\bf\it\large\bm{\mathcal{\fcolorbox{blue}{white}{\orange{To\:Find:-}}}}$

probability that she gets at least one head?

$\tt\it\bf\it\large\bm{\mathcal{\fcolorbox{blue}{white}{\pink{Formula\:to\:be\:Used:-}}}}$

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$\tt{\red{P(of\:an\:event)}}$$= > \frac{favourable \: outcome}{total \: outcome}$

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$\tt\it\bf\it\large\bm{\mathcal{\fcolorbox{blue}{white}{\green{Solution:-}}}}$

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When two coins are tossed together,the total no.of outcomes = 4

i.e, $\tt{\red{ (HH,\:HT,\:TH,\:TT) }}$

Let , H be the event of getting at least one head

•°• no.of favourable event n(H)

➠ 3 (i.e, HH,TH,HT)

Using formula,

P(H)$= > \frac{favourable \: outcome}{total \: outcome}$

P(H)= 3/4

$\tt{\red{Hence,\:the\:probability\:that }}$

$\tt{\red{he\:get\:atleast\:one\;head\:is\: }}$$\tt{\blue{3/4}}$

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