Question

Two coins are tossed together. What is the probability of getting:
(i) at least one head
(ii) both heads or both tails.

Answer 1

∵ A coin has two faces Head and Tail or H, T
∴ Two coins are tossed
∴ Number of coins = 2 x 2 = 4
which are HH, HT, TH, TT

(i)

At least one head, then

Number of outcomes = 3

∴ P(E) = `"Number of favourable outcome"/"Number of all possible outcome"`

= `3/4`

(ii)

When both head or both tails, then

Number of outcomes = 2

∴ P(E) = `"Number of favourable outcome"/"Number of all possible outcome"`

`2/4 = 1/2`