Three coins are tossed simultaneously . What is the probability of getting :

i) two heads ?

ii) at most one head ?

iii) atleast two heads ?

iv ) at most two heads ?

please solve the query soon . Thank you .

Let **H : Head **

and,** T : Tail**

then the outcomes when 3 coins are tossed simultaneously are

Thus total outcomes are 8.

(1) two heads means exactly 2 heads

Favourable cases = (HHT, HTH, THH)

Probability =

(2) at most one head means one head or no head

Favourable cases = (HTT, THT, TTH, TTT)

Probability =

(3) atleast two heads means two or three heads

Favourable cases = (HHH, HHT, HTH, THH)

Probability =

(4) atmost two heads means 0, 1 or 2 heads

Favourable cases = (HHT, HTH, HTT, THH, THT, TTH, TTT)

Probability =

**
**