In a throw of a dice,
Possible outcomes = {1, 2, 3, 4, 5, 6}
Total number of possible outcomes = 6
Now,
(i)
Favorable outcomes = Even numbers = {2, 4, 6}
Number of favorable outcomes = 3
P(an even number) = 3/6 = 1/2.
(ii)
Favorable outcomes = number less than 5 = { 1, 2, 3, 4}
Number of favorable outcomes = 4
P(a number less than 5) = 4/6 = 2/3.
(iii)
Favorable outcomes = number greater than 2 ={ 3, 4, 5, 6}
Number of favorable outcomes = 4
P(a number greater than 2) = 4/6 = 2/3.
(iv)
Favorable outcomes = a number between 3 and 6 = { 4, 5}
Number of favorable outcomes = 2
P(a number between 3 and 6) = 2/6 = 1/3.
(v)
Favorable outcomes = a number other than 3 = {1, 2, 4, 5, 6}
Number of favorable outcomes = 5
P(a number other than 3) = 5/6.
(vi)
Favorable outcome = a number 5 = { 5}
Number of favorable outcomes = 1
P(a number 5) = 1/6.
