SOLUTION: For this problem, assume the balls in the box are numbered 1 through 7, and that an experiment consists of randomly selecting 3 balls one after another without replacement.

Algebra ->  Probability-and-statistics -> SOLUTION: For this problem, assume the balls in the box are numbered 1 through 7, and that an experiment consists of randomly selecting 3 balls one after another without replacement.       Log On


   

Question 342935: For this problem, assume the balls in the box
are numbered 1 through 7, and that an experiment consists of randomly
selecting 3 balls one after another without replacement.

(1) How many outcomes does this experiment have?



(2) What probability should be assigned to each outcome?



(3) What probability should be assigned to the event that at least one ball has
an odd number?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
For this problem, assume the balls in the box
are numbered 1 through 7, and that an experiment consists of randomly
selecting 3 balls one after another without replacement.
(1) How many outcomes does this experiment have?
Ans: 7C3 = (7*6*5)/(1*2*3) = 35
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(2) What probability should be assigned to each outcome?
Ans: 1/35
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(3) What probability should be assigned to the event that at least one ball has
an odd number?
There are 3 odd numbered balls.
So only one selection will not have an odd-numbered ball in it.
Ans: 34/35
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Cheers,
Stan H.