Question

17 cards numbered 1, 2, 3, …. , 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 : (a) a prime (b) divisible by 3 (c) divisible by 3 and 2 both (d) odd

Answer 1

Answer:

Probability = Number of Events / Sample Space

Number of Cards ( Sample Space ) = 17

1 ) Event ( A Prime Number ) = { 2, 3, 5, 7, 11, 13, 17 } = 7

=> Probability = 8 / 17

2 ) Event ( Number divisible by 3 ) = { 3, 6, 9, 12, 15 } = 5

=> Probability = 5 / 17

3 ) Event ( Divisible by both 3 and 2 ) = { 6, 12 } = 2

=> Probability = 2 / 17

4 ) Event ( Odd number ) = { 1, 3, 5, 7, 9, 11, 13, 15, 17 } = 9

=> Probability = 9 / 17

These are the required answers.

Answer 2

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