SOLUTION: A single ball is taken at random from an urn containing 10 balls numbered 1 through 10. What is the probability of obtaining the following: a. An even-numbered ball b. A ball

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Question 935692: A single ball is taken at random from an urn containing 10 balls numbered 1 through 10. What is the probability of obtaining the following:
a. An even-numbered ball
b. A ball different from 5
c. A ball that is either less than 5 or odd

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
a.

There are 10 balls. Five of them are even (2,4,6,8,10).

Answer: 5/10 = 1/2 (don't forget to reduce all fractions fully)

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b.

There are 10 balls, 9 of which are not 5. Only 1 ball is labeled 5.

Answer: 9/10
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c.

There are 4 balls less than 5 (1,2,3,4)
There are 5 odd numbers (1,3,5,7,9)
Combine the two lists and toss out the duplicates to get {1,2,3,4,5,7,9}
There are 7 numbers in this list {1,2,3,4,5,7,9}
Out of 10 total

Answer: 7/10

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