SOLUTION: Two numbers a and b, are randomly selected without replacement from the set {2,3,4,5,6,7}. What is the probability that the fraction a/b is lessthan 1 and can be expressed as a ter

Question 157692: Two numbers a and b, are randomly selected without replacement from the set {2,3,4,5,6,7}. What is the probability that the fraction a/b is lessthan 1 and can be expressed as a terminating decimal?
Could you please explain this, Please?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
To find the probability that is less than 1 and can be expressed as a terminating decimal, simply list all of the fractions where (since the fraction must be less than 1) and take note which ones have terminating decimals

(non terminating), (terminating), , (non terminating), (non terminating), etc...

It turns out that there are 3 different possible combinations of . So count the number of terminating decimal fractions and this will form the numerator while the total number of combintations (30) will form the denominator.

Let me know if you need more help.
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