Question

79. 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.
(AI 2016)​

Answer 1

Answer:

1/2

Step-by-step explanation:

Values of x : 1, 2, 3, 4

Values of y : 1, 4, 9, 16

Possible Multiplication of x and y together :

(1, 1) = (1) (1, 4) = (4) (1, 9) = (9)

(1, 16) = (16)

(2, 1) = (2) (2, 4) = (8) (2, 9) = (18)

(2, 16) = (32)

(3, 1) = (3) (3, 4) = (12) (3, 9) = (27)

(3, 16) = (48)

(4, 1) = (4) (4, 4) = (16) (4, 9) = (36)

(4, 16) = (64)

Total outcomes : 14 (1, 4, 9, 2, 8, 18, 32, 3, 12, 27, 48, 16, 36, 64)

Favourable outcomes of getting the product of x and y less than 16 = 7 (1, 4, 9, 2, 8, 3, 12)

• P(x) = Favourable outcomes / Total outcomes

P(getting a product of x and y less than 16) = 7/14 = 1/2

Answer 2

Answer:

Step-by-step explanation: