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January 28, 2015

January 28, 2015

Posted by **Nicole** on Friday, February 5, 2010 at 7:15pm.

a. both are composite?

b. one number is even and the other is odd?

c. one number is even and the other a prime?

- Math -
**Reiny**, Friday, February 5, 2010 at 7:32pma) composites are 6,8,9, and 10

prob(both composites) = C(4,2)/C(10,2) = 6/45 = 2/15

b) prob(one even and one odd) = C(5,1)C(5,1)/C(10,2)

= 25/45 = 5/9

4 primes: 2,3,5,7

5 even:2,4,6,8,10

prob(one even and the other odd)

Case 1: the 2 is in there

number of ways for the other number is 3

Case 2: the 2 is out

number of ways is 3x4 = 12

total is 15

prob(one even the other prime) = 15/45 = 1/3

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