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

Solution

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=917

Similarly, for prime, p=717

For number divisible by 3, p=517

For number divisible by 3 and 2, p=217

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