Question

Two coins are tossed. Find the probablity of the events.

(i) head appears on both the coins.

Answer 1

Given:
Two coins are tossed.
The sample space is {HH, TH, HT, TT}.
∴ n(S) = 4
Now,
A is the event when the head appears on both the coins.
∴ A = {HH}
Or,
n(A) = 1
Thus, we have:
P(A) = $\frac{n\left(A\right)}{n\left(S\right)}=\frac{1}{4}$