Home
Class 10
MATHS
A number x is selected at random from th...

A number x is selected at random from the numbers 1, 4, 9, 16 and another number y is selected at random from the numbers 1, 2, 3, 4. Find the probability that the value of xy is more than 16.

Text Solution

Verified by Experts

The correct Answer is:
Sample space
`(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 cases `xylt16`
`(1, 1), (1, 4), (1, 9), (2, 1), (2, 4), (3, 1), (3, 4), (4, 1)`
Required probability `=(8)/(16)=(1)/(2)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PROBABILITY

    CBSE COMPLEMENTARY MATERIAL|Exercise LONG ANSWER TYPE QUESTIONS|39 Videos

  • PROBABILITY

    CBSE COMPLEMENTARY MATERIAL|Exercise PRACTICE-TEST|11 Videos

  • PROBABILITY

    CBSE COMPLEMENTARY MATERIAL|Exercise SHORT ANSWER TYPE QUESTIONS-1|7 Videos

  • PRACTICE TEST-II

    CBSE COMPLEMENTARY MATERIAL|Exercise Section C|14 Videos

  • QUADRATIC EQUATIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise PRACTICE TEST|10 Videos

Similar Questions

Explore conceptually related problems

A number x is selected at random from the numbers 1,4,9,16 and another number is selected at random from the numbers 1,2,3,4 .Find the probability that the value of xy is more than 16 .

A number x is selected at random from the numbers 1,4,9,16 and another number y is selected random from the numbers 1,2,34. Find the probability that the value of xy is more than 16.

Knowledge Check

  • A number is selected at random from the set {1, 2, 3, ........ , 50}. The probability that it is a prime, is

    A
    `0.1`
    B
    `0.2`
    C
    `0.3`
    D
    `0.7`

  • A number is selected at random from the set {1, 2, 3, …, 50}. The probability that it is a prime, is

    A
    `0.1`
    B
    `0.2`
    C
    `0.3`
    D
    `0.7`

    • Similar Questions

    Explore conceptually related problems

    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.

    If a number x is chosen from the number 1,2,3 and a number y is selected from the numbers 1 4,9 .Find the probability that xy=10

    A number is selected at random from the numbers 1 to 30. What is the probability that the selected number is a prime number?

    One number is chosen at random from the number 1 to 100. Find the probability that it is divisible by 4 or 10.

    A number is selected at random from first 50 natural numbers.Find the probability that it is a multiple of 3 and 4.

    A number is selected at random from first 50 natural numbers.Find the probability that it is a multiple of 3 and 4.

    Home
    Profile