SOLUTION: Five numbers are chosen between 1 and 13, inclusive, without replacement. What is the probability that all the numbers are even?

Question 575785: Five numbers are chosen between 1 and 13, inclusive, without replacement. What is the probability that all the numbers are even?
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
Five numbers are chosen between 1 and 13, inclusive, without replacement. What is the probability that all the numbers are even?
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Initially, there are 6 even numbers out of a total of 13
After the 1st number is selected, there are 5 even numbers and 12 remaining, etc.
The total probability is the product of the individual probabilities:
P(5 even) = 6/13*5/12*4/11*3/10*2/9 = 0.00466
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