SOLUTION: Each of three boxes has 10 balls with numbers from 0 to 9. You take out one ball from each box randomly. What is the probability that you have taken out a. three �2�s? b. 3 numbe

Question 1120139: Each of three boxes has 10 balls with numbers from 0 to 9. You take out one ball from each box randomly. What is the probability that you have taken out
a. three �2�s?
b. 3 numbers that are the same?
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!

a) (1/10)*(1/10)*(1/10) = = 0.001
b) (1/10)*(1/10) = = 0.01
Notice for part(b) that the first pick is x (where x=0,1,�9), so only the 2nd and 3rd picks need to match x. In contrast, part(a) stipulates that x=2 so we have a 1/10 probability of picking that particular x on pick #1.

An alternate way to view (b) vs (a): there are 10 possible picks where the 3 numbers match, and only one {2,2,2}, so the answer to (b) must be 10 times as great as (a).

RELATED QUESTIONS
Use your knowledge of polynomials to help the company design the box for one of its... (answered by ikleyn)

Megan, Brandon, and Ryan were presented with an unusual challenge. From a group of three (answered by solver91311)

You have a box of 10 red, 6 blue and 8 yellow balls. Assume that you are drawing 3 balls... (answered by ewatrrr)

In a box there are 9 red balls and 4 green balls. Part a. Two random balls are taken... (answered by ikleyn)

Following are two boxes containing colored and white balls. A ball is drawn at random... (answered by stanbon)

a box contains 7 identical red balls, 4 identical white balls and 9 identical black... (answered by stanbon)

Two boxes, A and B contain equal numbers of balls (black and white). A sample of 100... (answered by Boreal)

You buy 1000 foam balls and 3 colors of paint from the craft store. Each time you take a (answered by Edwin McCravy)

There are three boxes containing black and white balls. The number of each color is Box... (answered by ikleyn,greenestamps)