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})
Correct Answer: Option A
Explanation
| 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})
There is an explanation video available below.