What is the probability’ that the product of two integers (not necessarily different integers) randomly selected from the numbers 1 through 20, inclusive, is odd?

A    2/6

B    1/4

C    1/2

D    3/4

Solution

Correct Answer: Option B

 

Only possible if both numbers chosen are odd (since even*anything=even), and you're picking with replacement (since numbers can be the same). The odd numbers between 1 and 20, inclusive, are {1,3,5,7,9,11,13,15,17,19}, 10 in all, and there is a total of 20 numbers to choose from (20-1+1).

 

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