Probability - examples

Probability is the measure of the likeliness that an event will occur. The probability (chance) is a value from the interval <0;1> or in percentage (0% to 100%) expressing the occurrence of some event. 0 is impossible event and 1 (100%) means the certainty event.
  1. Rectangle
    diagonal In rectangle with sides 10 and 9 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than to any side of the rectangle?
  2. Ace
    ace From complete sets of playing cards (32 cards) we pulled out one card. What is the probability of pulling the ace?
  3. Pediatrician
    doctor Pediatrician this month of 21 working days takes 3 days holidays. What is the probability that on Monday will be at work?
  4. Bureau of Labor
    UPSVAR Bureau of Labor is a state institution that provides mike and the rest for their so-called clients. The mission of the Bureau of Labor is spend taxpayer money to provide relaxation and benefits to those who do not want to work. Popularly speaking sense the
  5. Word
    words What is the probability that a random word composed of chars T, D, O, O, V, S, B, A, P, P, D, N, R, O, Ě will be PRAVDĚPODOBNOST?
  6. Two doctors
    dr_cvach Doctor A will determine the correct diagnosis with a probability 80% and doctor B with a probability 72%. Calculate probability of correct diagnosis if patient is diagnosed by both doctors.
  7. Dice
    dices How many times must throw the dice, the probability of throwing at least one three was greater than 90%?
  8. Sales
    tesco From statistics of sales goods, item A buy 54% of people and item B buys 58% of people. What is the probability that from 3 people buy 2 item A and 1 item B?
  9. Scrap
    chair_bad From 8 products are 2 scrap. What is the probability that the random pick of 2 products have no defective product?
  10. Event probability
    dices_1 The probability of event G in 9 independent experiments is 0.48. What is the probability that the event G occurs in one experiment (probability is same)?
  11. Dices
    dices_2 We will throw two dice. What is the probability that the ratio between numbers on first and second dice will be 1:2?
  12. Shooter
    terc The probability that a good shooter hits the center of the target circle I is 0.22. The probability that the target hit intercircle is II 0.41. What is the probability that it hits the target circle I or II?
  13. Balls
    spheres From the urn in which are 18 white balls and 4 red, gradually drag 5-times without replacement. What is the probability that pulls balls are in order: red red white white white?
  14. Events
    items Event J has probability of 0.17. What is the probability that the event J occurs in:
  15. Insurance
    tornado The owner of the house is insured against natural disasters and pays 0.04% annually of the value of house 103 Eur. Calculate the value of the house. Calculate the probability of disaster, if you know that 42% of the insurance is to pay damages.
  16. Pizza
    pizza_1 A school survey found that 9 out of 16 students like pizza. If 5 students are chosen at random, what is the probability that all 5 students like pizza?
  17. Lottery
    loteria_1 The lottery is 41000 elk in which 7300 wins. What is the probability that the purchase of 17 elks won nothing?
  18. Monty Hall
    Monty_open_door Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. W
  19. Family
    stork_bocian What is the probability that a family with 7 childrens have: exactly 0 girls? 1 girl and 6 boys? Consider the birth probability of a girl is 48.73% and boy 51.27%.
  20. Components
    components In the box are 6 white, 4 blue and 2 red components. What is the probability that we pull one white, one blue and one red component without returning?

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