Engineering Board Exam Reviewer · Basic Probability · medium

A number is chosen at random from the integers 1 to 100. What is the probability that it is divisible by 3 or by 5?

  1. 47/100
  2. 53/100
  3. 1/3
  4. 33/100

Answer

A. 47/100

Solution

Multiples of 3: 33. Multiples of 5: 20. Multiples of 15 (counted twice): 6. So 33+20-6=47 numbers, and P=47/100.

More Basic Probability questions

  1. A committee of 3 is chosen at random from 5 men and 4 women. What is the probability that it consists of 2 men and 1 woman?
  2. Two fair dice are rolled. What is the probability that the sum is greater than 8?
  3. A box has 4 white and 6 black balls. Three balls are drawn at random without replacement. What is the probability that exactly 2 are white?
  4. Three fair coins are tossed. What is the probability of getting at least one head?
  5. Two cards are drawn without replacement from a standard 52-card deck. What is the probability that both are hearts?
  6. One card is drawn from a standard 52-card deck. What is the probability that it is a red queen?
  7. Two fair dice are rolled. What is the probability that the sum is 9?
  8. A bag contains 5 red, 3 green, and 2 yellow marbles. One marble is drawn at random. What is the probability that it is green or yellow?
  9. A single die is rolled. What is the probability of getting a number greater than 4?
  10. Two dice are rolled. What is the probability that the sum is 7?

All Basic Probability questions