Suppose that there are two buckets. Bucket 1 contains 3 tennis balls and 5 ping -pong balls. Bucket 2 contains 4tennis balls, 3 ping-pong balls, and 5 baseballs. An unfair coin will decide from which bucket we draw. Headsimplies we draw from Bucket 1 and tails implies we draw from Bucket 2. The probability of a heads is 13 andthe probability of a tails is $\frac { 2 } { 3 } .$ Given that a ping-pong ball was selected what is the probability that it camefrom Bucket 2?
A) 0.444
B) 0.555
C) 0.625
D) 0.250

Question

Quizplus · Accepted Answer

P(Bucket 2 | Ping-pong) = P(Ping-pong | Bucket 2) * P(Bucket 2) / P(Ping-pong)= (3/12) * (2/3) / ((5/8) * (1/3) + (3/12) * (2/3))= 0.444

Suppose That There Are Two Buckets 23.\frac { 2 } { 3 } .32​.

Suppose That There Are Two Buckets $\frac { 2 } { 3 } .$