Question

A bucket contains 5 green tennis balls to yellow tennis balls, 6 thread tennis balls and a blue tennis balls toner removes 4 tennis balls without replacement from the bucket, what is the probability that 20 removes one yellow, one green, one blue and one more blue tennis ball?​

Answer 1

total ball 17

without replacement

rearagement 'ygbb' --> 4!/2! = 12

probability without rearagement

`(2)/(17) * (5)/(16) * (4)/(15) * (3)/(14) = (1)/(476)`

hence total probability

`(12)/(476) = (3)/(119)`