Question

The probability of drawing a green candy from a jar of 20 candies is 1/4. How many yellow candies should be added to the jar in order to reduce the probability to 1/6 ?

Answer 1

`10` yellow candies should be added to the jar in order to reduce the probability to `1/6`.

Explanation:

As the probability of drawing a green candy from a jar of `20` candies is `1/4`,

number of green candies in the jar are `20xx1/4=5`

Now let us assume we add `x` yellow candies. So total number of candies become `20+x` and probability of drawing a green candy from a jar becomes

`5/(20+x)`

As we desire the probability to be `1/6`

`5/(20+x)=1/6` or

`(20+x)=5xx6=30`

and `x=30-20=10`

Hence, `10` yellow candies should be added to the jar in order to reduce the probability to `1/6`.