Solution :
Probability of an event E is given as follows :
P(E) = Number of favourable outcomes/Total number of outcomes
a) We have to find P(2)
P(2) = Number of 2's/Total number of outcomes
P(2) = 1/8
P(2) = 0.125
b) We have to find P(odd number).
P(odd number) = Number of odd numbers/Total number of outcomes
Number of odd numbers that we can get on rolling a 8 sided dice are 4. These odd numbers are 1, 3, 5 and 7.
Hence,
P(odd number) = 4/8
P(odd number) = 0.50
c) We have to find P(not 7).
P(not 7) = 1 - P(7)
P(7) = number of 7's/Total number of outcomes
P(7) = 1/8
Hence,
P(not 7) = 1 - (1/8)
P(not 7) = 7/8
P(not 7) = 0.875
d) We have to find P(less than 6).
P(less than 6) = Number of outcomes that are less than 6/Total number of outcomes
P(less than 6) = 5/8
P(less than 6) = 0.625
e) We have to find P(3.5).
P(3.5) = Number of 3.5's/Total number of outcome
Since, there are no outcome of 3.5 hence,
P(3.5) = 0/8
P(3.5) = 0
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