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in Class 12 by kratos

Find the probability distribution of number of heads in two tosses of a coin.

1 Answer

+1 vote
by kratos
 
Best answer

When a coin is tossed twice the sample space is * = {HH,HT, TH,TT}

Let x denote the number of heads in any out come in *.

∴ x(HH) = 2

x(HT) = 1

x(TH) = 1

x(TT) = 0

P(x = 0) = P(TT) = 1/4

P(x = 1) P(HT,TH) = 2/4 = 1/2

P(x = 2) P(HT,TH) = 1/4

Probability distribution of x is

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