Question

Two coins are tossed simultaneously. Find the number of favourable outcomes for the following events.
i) To get at least one tail.
ii) To get only one head.
[2 Marks]

Answer 1

When two coins are tossed simultaneously, the possible outcomes are:
S = {HH, HT, TH, TT}

i) Considering the event of getting at least one tail, the favourable outcomes are:
{TT, HT, TH}
So, the number of favourable outcomes is 3.
(1 Mark)

ii) Considering the event of getting only one head, the favourable outcomes are:
{HT, TH}
So, the number of favourable outcomes is 2.
(1 Mark)