Question

A coin is tossed twice if the coin shows head it is tossed again

Answer 1

if the coin shows head it is tossed again but it it shows a tail then a die is tossed

Sample space={HH,HT,(T,1),(T,2),(T,3),(T,4),(T,5),(T,6)}

Total number of outcomes=8

Let A be even that die shows a number greater than 4

A={(T,5),(T,6)}

B be event that first thrown of the coin results in a tail

B={(T,1),(T,2),(T,3),(T,4),(T,5),(T,6)}

We have to find the probability

Hence, the probability that the die shows a number greater than 4,if it known that the first throw of the coin results in a tail=0.33

Answer 2

Answer:

If the coin is tossed twice the possible out comes as follows.

S ={(H,H),(H,T),(T,T),(T,H)}

E be the event of getting (H,H)

Therefore n=4, m=1

P(E)=m/n=1/4