Question

From 10 identical cards, numbered 1, 2, 3, ......, 10, one card is drawn at random. Find the probability that the number on the card drawn is a multiple of:
(i) 2
(ii) 3
(iii) 2 and 3
(iv) 2 or 3

Answer 1

Total outcomes= 10
i.e. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
(i) Favourable outcomes= 5 i.e. 2, 4, 6, 8, 10
P(E)= $\frac{5}{10}=\frac{1}{2}$
(ii) Favorable outcomes= 3 i.e. 3, 6, 9
P(E)= $\frac{3}{10}$
(iii) Favourable outcomes= 1 i.e. 6
P(E) = $\frac{1}{10}$
(iv) Favourable outcomes= 7
i.e. 2, 3, 4, 6, 8, 9, 10
P(E) = $\frac{7}{10}$