Probability + reason - math problems

Number of problems found: 61

  • Error rate
    binomial The exam has 6 questions. Students have an error rate of 20% and can have a maximum of 1 question wrong. What is the probability that they will succeed?
  • The vaccination
    covid19 The vaccination coverage of the population is 80%. Unvaccinated make up 60% of all infected. What percentage are unvaccinated more likely to be infected?
  • Smoker male
    venn_intersect For a person selected randomly from a certain population, events A and B are defined as follows. A = event the person is male B = event the person is a smoker. For this particular population, it is found that P(A ) = 0.53, P(B) = 0.15, and P(A n B ) = 0.1
  • Poisson distribution - daisies
    Poisson_distribution The meadow behind FLD was divided into 100 equally large parts. Subsequently, it was found that there were no daisies in ten of these parts. Estimate the total number of daisies in the meadow. Assume that daisies are randomly distributed in the meadow.
  • Three subjects
    venn In a class of 40 students, 18 passed mathematics, 19 passed accounts, 16 passed economics, 5 mathematics and accounts only, 6 mathematics only, 9 accounts only, 2 accounts and economics only, if each student offered at least one of the subjects. a) how ma
  • A married
    family A married couple planned to have 3 children. i. List the possible combinations of the sexes of 3 children. Use B for boy and G for girl. ii. Calculate the probability that all three children would be of the same gender
  • A bag
    balls2 A bag contains 9 blue marbles and 1 green marble. What is the probability of drawing a blue marble followed by a green marble, without replacing the first marble before drawing the second marble.
  • We roll
    dices2 We roll two dice A. - what is the probability that the sum of the falling numbers is at most 4 B. - is at least 10 C. - is divisible by 5?
  • Seeds
    seed From a box of spruce seeds with the germination of 80%, we randomly select 10 seeds and plant them. Find the median of the random variable: the number of germinating seeds.
  • Two dice
    dices2 We roll two dice. What is the probability that the sum of the falling numbers is greater than 3?
  • A license
    License_Plate A license plate has
3 letters followed by 4 numbers. Repeats are not allowed for the letters, but they are for the numbers. If they are issued at random, what is the probability that the 3 letters are in alphabetical order and the 3 numbers are consecutiv
  • One dice
    dice Calculate the probability of one dice roll with the numbers 1, 2, 3, 4, 5, 6 on the walls. Write the results in a notebook in the shape of a fraction in the basic form: 2/3. a, The number 1 falls on the cube. b, The number 5 falls on the cube. c, An even
  • Three dice
    dices2 The player throwing the three dice asked G. Galilei the question: "Should I bet on the sum of 11 or the sum of 12?" What did Galilei answer him? Hint: write down all three triples of numbers that can be thrown and: have a total of 11 have a total of 12 an
  • Playing cards
    binomial From 32 playing cards containing 8 red cards, we choose 4 cards. What is the probability that just 2 will be red?
  • Air draft
    numbers2 The numbers 1,2,3,4,5 are written on five tickets on the table. Air draft randomly shuffled the tickets and composed a 5-digit number from them. What is the probability that he passed: and, the largest possible number b, the smallest possible number c, a
  • Six questions test
    binomial There are six questions in the test. There are 3 answers to each - only one is correct. In order for a student to take the exam, at least four questions must be answered correctly. Alan didn't learn at all, so he circled the answers only by guessing. What
  • Birthday paradox
    holland How large must the group of people be so that the probability that two people have a birthday on the same day of the year is greater than 90%?
  • Gold, silver, bronze
    olympics How many ways can we divide gold, silver, bronze medals if 6 people are competing?
  • The manufacturer
    cd_disc The manufacturer found that 3% of the plates produced had a malfunction. Of the compliant, 75% are first and 25% second. What is the probability of producing first and second class plates?
  • Probability
    fractions How probable is a randomly selected three-digit number divisible by five or seven?

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Probability - math problems. Reason - math problems.