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

Multiple Choice

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 heads is 13 and theprobability of tails is $\frac { 2 } { 3 } .$ What is the probability of drawing a baseball? Round to the nearest thousandth whennecessary.

A) 0.277
B) 0.723
C) 0.25
D) 0.417