Home
Class 12
MATHS
An integer is chosen at random and squar...

An integer is chosen at random and squared. Find the probability that the last digit of the square is 1 or 5.

Text Solution

Verified by Experts

The unit digit of square will be 1 or 5 only when the unit digit of taken number is 1, 5 or 9.
`therefore` Required probability = `(3)/(10)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise Solved Example|9 Videos
  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise Exercise 9.1|6 Videos
  • PROBABILITY

    CENGAGE PUBLICATION|Exercise All Questions|470 Videos
  • PROBABILITY II

    CENGAGE PUBLICATION|Exercise MULTIPLE CORRECT ANSWER TYPE|6 Videos

Similar Questions

Explore conceptually related problems

If n integers taken at random are multiplied together , then the probability that the last digit of the product is 1, 3, 7, or 9 is a. 2^n//5^n b. 4^n-2^n//5^n c. 4^n//5^n d. none of these

Two integers are chosen at random and multiplied. Find the probability that the product is an even integer.

Find the probability of getting a digit 5 when a die is rolled.

Find the probability of getting a digit 1 when a die is rolled.

If four whole numbers taken at random are multiplied together, then find the probability that the last digit in the product is 1,3,7 or 9.

If out of 20 consecutive whole numbers two are chosen at random, then find the probability that their sum is odd.

An integer is chosen at random from the first 100 positive integers what is the probability that the integer is divisible by 6 or 8?

A number is chosen at random from the first 50 positive integers. Find the probability that the chosen number is divisible by 4 or 5.

n whole are randomly chosen and multiplied Column I, Column II The probability that the last digit is 1,3,7, or 9 is, p. (8^n-4^n)/(10^n) The probability that the last digit is 2,4,6, or 8 is, q. (5^n-4^n)/(10^n) The probability that the last digit is 5 is, r. (4^n)/(10^n) The probability that the last digit is zero is, s. (10^n-8^n-5^n+4^n)/(10^n)

A number is chosen at random from the numbers 1, 2,…, 15. find the probability that the chosen number is (i) even (ii) odd and (iii) multiple of 3.