SOLUTION: If x, y can take values from the set {1,2,3,4}, find the probability that the product of x and y is not greater than 6.

Question 1108465: If x, y can take values from the set {1,2,3,4}, find the probability that the product of x and y is not greater than 6.
Found 2 solutions by KMST, rothauserc:
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
If is allowed, there are possible products.
That is not too many, so we can make a table:

Only the 6 products in the lower right corner (8, 9, 12, 8, 12,16) are greater than 6.
The remaining products are "not greater than 6."
The fraction of possible products "not greater than 6"
is ,
and that is the probability that the product of x and y is not greater than 6.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
the sample space has 16 elements
:
(1,1), (1,2), (1,3), (1,4)
(2,1), (2,2), (2,3), (2,4)
(3,1), (3,2), (3,3), (3,4)
(4,1), (4,2), (4,3), (4,4)
:
Note I am assuming that x and y can take on the same value
:
There are 6 products greater than 6, namely (2,4), (3,3), (3,4), (4,2), (4,3), (4,4)
:
The Probability (P) the product of x,y is greater than 6 is 6/16 = 3/8
:
P the product of x,y is not greater than 6 is 1 - (3/8) = 5/8
:

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