Question

a box contain card numbered from 14 to 30. a card is drawn at random from the box. find the probability of getting that number on the drawn card is
1. A composite number
2. A number is neither divisible by 3 nor by 5
3. A prime number
4. A number divisible by 3

Answer 1

1. Favourable outcomes: 14,15,16,18,20,21,22,24,25,26,27,28,30

                           i.e= 13

    total outcomes=17

     P(composite no.)=13/17

2. favourable outcomes: 9

        P(E)=9/17

3. favourable outcomes=4

  P(E)=4/17

4. favourable outcomes=6

     P(e)=6/17

Answer 2

1. Total number of outcomes = 17

Total number of favourable outcomes= 13

P(Composite number) = 13/17

2.Total number of favourable outcomes= 9

P(A number is neither divisible by 3 nor by 5)= 9/17

3. Total number of favourable outcomes = 4

P(Prime number)= 4/17

4. Total number of favourable outcomes = 6

P( A number divisible by 3) = 4/17