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.

Answer 1

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