Two coins are tossed simultaneously. What is the probability of getting (i) At least one head? (ii) At most one tail? (iii) A head and a tail?

 

 Two coins are tossed simultaneously. What is the probability of getting
(i) At least one head?
(ii) At most one tail?
(iii) A head and a tail?

 

sample space 

S={HH,HT,TH,TT} l

n(S)=4

A=event of at least one head (one head or two heads)

A ={HT,TH,HH}

n(A)=3

P(A)=n(A) /n(S)   = 3/4

B= event of at least one tail (no tails or one tail)

B={HH,HT,TH}

n(B)=3

P(B)=3/4

C=event of a head and a tail

C = {HT,TH}

n(C)=2

P(C)=2/4 = 1/2

 

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