Question

20) Two coins are tossed simultaneously. What is the probability that the second coin would show a tail given that the first coin has shown a head?
a) 0.50
b) 0.25
c) 0.75
d) 0.125​

Answer 1

Given: Two coins are tossed simultaneously.

To find: the probability that the second coin would show a tail given that the first coin has shown a head

Sol: The sample space for two coins is {HH,HT,TH,TT}, n(S)=4

Favourable outcomes for the first coin head and second coin showing tail are HT, n(E)=1

Hence, the probability that the second coin would show a tail given that the first coin has shown a head

is n(S)/n(E) = 4/1

=0.25

Answer 2

The possibilities can be :-

H H

H T

T H

T T

(H= head; T=tail)

Therefore probability of getting tail in the second coin = No of favourable outcomes/ Possible outcome

=1/4

=0.25 is the correct answer