Two coins are tosses simultaneously. Find the probability of getting:
(i) one head
(ii) at least one head
(iii) no tail

Answer

N/a

Explanation

In one toss of two coins the sample space
`S={HH,HT,TH,"TT"}`
`implies n(S)=4`
(i) Let `E_(1)=` event of getting one head `={HT,TH}`
`implies n(E_(1))=2`
`:.P(E_(1))=(n(E_(1)))/(n(S))=2/4=1/2`
(ii) Let `E_(2)=` event of getting at least one head `={HT,TH,HH}`
`implies n(E_(2))=3`
`:.P(E_(2))=(n(E_(2)))/(n(S))=3/4`
(iii) Let `E_(3)=` event of getting no tail `={HH}`
`implies n(E_(3))=1`
`:.P(E_(3))=(n(E_(3)))/(n(S))=1/4`.