Question

two coins are tossed find the probability of getting a) exactly one head b) No head c) exactly two heads d) at least one head

Answer 1

Answer:a)1/2

b)1/4

c)1/4

d)3/4

Step-by-step explanation:Since 2 coins are tossed at the same time,the sample space would be[(T,T),(T,H),(H,T) and (H,H)]

a) Since there are two possibilities of getting exactly one head(1st and 2nd possible outcome in the above sample space),thus

Favourable outcome=2

Probability =2/4=1/2

b)since there is only one favourable outcome where there is no head(1st outcome in the above sample space),thus

P=1/4

c)since there is only 1 possibility of getting 2 heads(4th outcome in the sample space),thus

P=1/4

d)since there r 3 possibilities of getting minimum of 1 head(2nd 3rd and4th outcomes),thus

P=3/4