Question

17 cards numbered 1, 2, 3,……,16,17 are put in a box and mixed thoroughly. One person draws a card from the box. Find the probability that the number on the card is
(i) Odd

(ii) Prime

(iii) Divisible by 3

(iv) Divisible by 3 and 2 both

Answer 1

17 cards numbered 1, 2, 3,……,16,17 are put in a box and mixed thoroughly.One person draws a card from the box

The number of total possible outcomes = 17

Number of favourable outcomes for a number to be odd = 9 [i.e., 1,3,5,7,9,11,13,15,17]

Therefore, $p=\frac{9}{17}$

Similarly, for prime, $p=\frac{7}{17}$

For number divisible by 3, $p=\frac{5}{17}$

For number divisible by 3 and 2, $p=\frac{2}{17}$