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.

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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) About Me  (Show Source):
You can put this solution on YOUR website!
If x=y is allowed, there are 4%2A4=16 possible xy 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 16-6=10 products are "not greater than 6."
The fraction of possible products "not greater than 6"
is 10%2F16=5%2F8=0.625=%2262.5%25%22 ,
and that is the probability that the product of x and y is not greater than 6.

Answer by rothauserc(4718) About Me  (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
: