(i) When a die is throw the possible outcomes are
S={1,2,3,4,5,6}" out of which "1,3,5 " are odd,"
∴ Required probability=
3
6
=
1
2
(ii) When a fair coin is tossed two times the sample space is
S=(HH,HT,TH,⊤}
In at least one head favourable enonts are HH, HT, TH
∴ Required probability =
3
4
(iii) Total cards = 52
Favourable = 4 king +2 of heart +3 of spade =4+1+1=6
∴Required probability =
6
52
=
3
26
(iv) When a pair of dice is rolled total sample parts are 36. Out of which (1,5), (5,1), (2,4), (4,2) and (3,3),
∴Required probability =
5
36
