Engineering Board Exam Reviewer · Basic Probability · medium

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?

  1. 36/125
  2. 3/10
  3. 1/6
  4. 2/5

Answer

B. 3/10

Solution

P= 4C2·6C110C3=6·6/120=3/10.

More Basic Probability questions

  1. Three fair coins are tossed. What is the probability of getting at least one head?
  2. Two cards are drawn without replacement from a standard 52-card deck. What is the probability that both are hearts?
  3. One card is drawn from a standard 52-card deck. What is the probability that it is a red queen?
  4. Two fair dice are rolled. What is the probability that the sum is 9?
  5. 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?
  6. A single die is rolled. What is the probability of getting a number greater than 4?
  7. Two dice are rolled. What is the probability that the sum is 7?
  8. A card is drawn from a standard deck of 52 cards. What is the probability that it is a face card (jack, queen, or king)?
  9. A bag contains 4 red, 5 blue, and 3 green marbles. If one marble is drawn at random, what is the probability that it is NOT blue?
  10. A jar contains 6 white and 4 black balls. Two balls are drawn without replacement. What is the probability that both are white?

All Basic Probability questions