Question

Cards bearing numbers 1,3,5..35 are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card bearing

(a) a prime number less than 15
(b) a number divisible by 3 and 5

Answer 1

Answer:
`(6)/(35) ,(2)/(35)`

Explanation:

`probability=\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}`

Question a:

Number of prime numbers less than
`15` are
`2,3,5,7,11,13`.

There are
`6` favourable outcomes.

There are
`35` total outcomes.

`probability=(6)/(35)`

Question b:

Numbers divisible divisible by
`3` and
`5` are
`15,30`

There are
`2` favourable outcomes.

There are
`35` total outcomes.

`probability=(2)/(35)`