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 ?

##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##.