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Question
In a single throw of a die, find the probability that the number:
(i) will be an even number.
(ii) will be an odd number.
(iii) will not be an even number.
Solution
A die has six numbers: 1, 2, 3, 4, 5, 6
∴ Number of possible outcome = 6
(i) Number of favourable outcomes = an even number i.e. 2, 4, 6 which are 3 in numbers
∴ P(E) = `"Number of favourable outcome"/"Number of all possible outcome"`
= `3/6 = 1/2`
(ii) & (iii) Number of favourable outcome = not an even number i.e. odd numbers : 1,3,5 which are 3 in numbers
∴ P(E) = `"Number of favourable outcome"/"Number of all possible outcome"`
= `3/6 = 1/2`
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