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

Question

Quizplus · Accepted Answer

The probability of drawing a baseball is the probability of drawing from Bucket 2 (tails) multiplied by the probability of drawing a baseball from Bucket 2 (5/12). So, the probability of drawing a baseball is (2/3) * (5/12) = 0.2778 (rounded to the nearest thousandth).

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

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