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
\(\frac{5}{8}\)
\(\frac{5}{16}\)
\(\frac{1}{2}\)
\(\frac{3}{8}\)
Correct answer is A
| 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) = \(\frac{10}{16}\)
= \(\frac{5}{8}\)