If two coins are tossed simultaneously, find the probabilities of the following events:
(i) two heads
(ii) at least one head
(iii) at most one head.

Answer

N/a

Explanation

For one toss of two coins
`S={HH,HT,TH,"TT"}`
`implies` No. of possible outcomes `=4`
(i) No of favourable outcomes of getting 2 heads `=1`
`:.` Probability of getting 2 heads `=1/4`
(ii) Favourable outcomes of getting at least one head `={HT,TH,HH}`
No. of favourable outcomes of getting at least one head `=3`
`:.` Probability of getting at least on head `=3/4`
(iii) Favourable outcomes of getting at most one head `={HT,TH,"TT"}`
No. of favourable outcomes of getting at most one head `=3`
`:.` Probability of getting at most one head `=3/4`