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Question
In the following experiment write the sample space S, Number of sample points n(S), write the event P in set form and find n(P):
Form two-digit numbers using the digit 0, 1, 2, 3, 4, without repeating the digits, P is the event, that the number so formed is even.
Solution
0, 1, 2, 3, 4
Two-digit numbers without repeating the digit can be formed as
Sample space
S ≡ {10, 12, 13, 14, 20, 21, 23, 24, 30, 31, 32, 34, 40, 41, 42, 43}
n(s) = 16
Let P ≡ Event of getting an even number,
P ≡ {10, 12, 14, 20, 24, 30, 32, 34, 40, 42}
n(p) = 10
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