SOLUTION: There are 2 buckets. The first bucket has 2 red, 1 green, and 3 black balls in it. The second bucket has 3 red, 2 green, and 1 black ball in it. If there is a 75% chance of goi

Question 534163: There are 2 buckets. The first bucket has 2 red, 1 green, and 3 black balls in it. The second bucket has 3 red, 2 green, and 1 black ball in it. If there is a 75% chance of going to bucket #1 and a 25% chance of going to bucket #2, what is the probability that a black ball will be picked?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
There are 2 buckets. The first bucket has 2 red, 1 green, and 3 black balls in it. The second bucket has 3 red, 2 green, and 1 black ball in it. If there is a 75% chance of going to bucket #1 and a 25% chance of going to bucket #2, what is the probability that a black ball will be picked?
---------------------
0.75*(3/6) + 0.25*(1/6)
-----
= 0.4167
===============
Cheers,
Stan H.
===============
RELATED QUESTIONS
In a bucket of 20 apples, 12 were green and the rest were red. 2 green apples are removed (answered by Boreal)

A bucket contains 6 black, 4 white and 5 green balls. In how many ways can 3 balls be... (answered by ewatrrr)

There are 3 red balls and some black and some green balls in a bowl. If the probability... (answered by Fombitz)

a bag contains two black balls, three green balls and four red balls. A ball is picked... (answered by rothauserc,Edwin McCravy)

there are 3 boxes containing respectively 1 white, 2 red, 3 black balls; 2 white, 3 red,... (answered by Theo)

an urn contains 12 balls identical in every respect except color. there are 3 red balls,... (answered by checkley77)

An urn contains two red balls and two green balls. A ball is drawn randomly. If the ball... (answered by Natolino1983)

Mario and Bowser begin with a hat that has 5 balls in it: 3 are red, 2 are green. Bowser... (answered by Theo)

A jar contains red marbles and green marbles. Ray randomly chooses one marle and places... (answered by stanbon)