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 ?

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Answer 1 · 2016-09-15T06:44:04

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

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 $1/6$ .