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.
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.
5 views
2 Answers
x can be any one of 1, 2, 3 or 4.
y can be any one of 1, 4, 9 or 16
Total number of cases of product of x and y = 16
Product less than 16 = (1×1, 1×4, 1×9, 2×1, 2×4, 3×1, 3×4, 4×1)
Number of cases, where product is less than 16 = 8
Required probability = 8/16 or 1/2
5 views
Answered
Given, x = {1, 2, 3, 4}
⇒ n(x) = 4
y = {1, 4, 9, 16}
n(y) = 4
Total number of possible products
= 4 × 4 = 16
Products x.y which are less than 16 are {1 × 1, 1 × 4, 1 × 9, 2 × 1, 2 × 4, 3 × 1, 3 × 4, 4 × 1}
n (x.y) = 8
∴ Required probability = 8/16 = 1/2.
5 views
Answered