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December 19, 2014

December 19, 2014

Posted by **m** on Tuesday, November 30, 2010 at 9:47am.

I know there are 4 primes-2,3,5,7 and 5 even numbers 2,4,6,8,10

not sure how to figure the probability

- math -
**Reiny**, Tuesday, November 30, 2010 at 10:33amIt could be

PE or EP

what messes things up is that the 2 is in both groups

PE:

case 1: the 2 was picked as the prime

prob of that is (1/10)(4/9)

case 2: the 2 was not picked as the prime

prob of that is (3/10)(5/9)

so prob (PE) = 4/90 + 15/90 = 19/90

EP:

case 1: the 2 was picked as the even

prob = (1/10)(3/9) = 3/90

case 2: the 2 was not picked as the even

prob = (4/10)(4/9) = 16/90

prob(EP) = 3/90 + 16/90 = 19/90

so prob of (one prime and one even) = 19/90 + 19/90 = 19/45

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