Question

0.16. A number x is selected at random from the numbers 1, 2, 3 and 4. Another number y is
selected at random from the numbers 1, 4, 9 and 16. Find the probability that product of
x and y is less than 16.​

Answer 1

Answer:

Number of possible outcomes for x is 1,2,3,4=4

Number of possible outcomes for y is 1,4,9,16=4

Since they are selected at random, hence each has equal in number of possibilities.

Therefore, total outcomes =16 (like a dice question making a box and writing the products as

(1×1),(1×4),(1×9),(1×16),(2×1),(2×4),(2×9),(2×16),(3×1),(3×4),(3×9),(3×16),

(4×1),(4×4),(4×9),(4×16)

Favourable outcomes =8.

(1×1),(1×4),(1×9),(2×1),(2×4)(3×1),(3×4),(4×1)

Probability that product of x and y is less than 16=

16

8

=

2

1