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
A
\(\frac{5}{8}\)
B
\(\frac{5}{16}\)
C
\(\frac{1}{2}\)
D
\(\frac{3}{8}\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
x
1
2
3
4
1
1*
2*
3*
4*
2
2*
4*
6*
8
3
3*
6*
9
12
4
4*
8
12
16
The numbers that are not greater than 6 are either less than 6 or equal to 6.
P(picking a number not greater than 6) = \(\frac{10}{16}\)
= \(\frac{5}{8}\)
Source: Myschool Past Questions Archive (Record #54912)