Probability MCQ

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• In which distribution successive trials are without replacement
  ক

  Poisson distribution

  খ

  Binomial distribution

  গ

  Geometric distribution

  ঘ

  Hypergeometric distribution
• Binomial distribution is symmetrical when
  ক

  p = q

  খ

  p > q

  গ

  p

  ঘ

  np > npq
• Which of the following is not the property of binomial distribution
  ক

  N is fixed

  খ

  Has two outcomes

  গ

  Trials are independent

  ঘ

  Probability of success varies from trial to trial
• The mean, median and mode for binomial distribution will be equal when
  ক

  p = 0.5

  খ

  p

  গ

  p > 0.5

  ঘ

  p = 1
• In which approach to probability the outcomes are equally likely to occur?
  ক

  Classical Probability

  খ

  Subjective Probability

  গ

  Relative Frequency

  ঘ

  Independent
• Which of the following is not a correct statement about a probability.
  ক

  A value near 0 means that the event is not likely to occur/happens

  খ

  It can be reported as a decimal or a fraction

  গ

  It must have a value between 0 and 1

  ঘ

  It is the collection of several experiments
• Binomial distribution is negatively skewed when
  ক

  p = 0

  খ

  p > $$\frac{{1}}{{2}}$$

  গ

  p

  ঘ

  p = -$$\frac{{1}}{{2}}$$
• Which of the following is not an example of a discrete probability distribution?
  ক

  The number of bathrooms in a house

  খ

  The sale or purchase price of a house

  গ

  The number of bedrooms in a house

  ঘ

  Whether or not a home has a swimming pool in it
• Two unbiased coin are tossed .What is the probability of getting at most one head?
  ক

  $$\frac{{1}}{{4}}$$

  খ

  2

  গ

  $$\frac{{3}}{{4}}$$

  ঘ

  1
• In a throw of coin what is the probability of getting tails.
  ক

  0

  খ

  1

  গ

  2

  ঘ

  $$\frac{{1}}{{2}}$$
• In a throw of coin what is the probability of getting head.
  ক

  0

  খ

  1

  গ

  2

  ঘ

  $$\frac{{1}}{{2}}$$
• Two dice are thrown simultaneously. What is the probability of getting the face numbers are same?
  ক

  $$\frac{{1}}{{6}}$$

  খ

  $$\frac{{2}}{{3}}$$

  গ

  $$\frac{{4}}{{9}}$$

  ঘ

  $$\frac{{5}}{{6}}$$
• In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither blue nor green?
  ক

  $$\frac{{2}}{{3}}$$

  খ

  $$\frac{{3}}{{7}}$$

  গ

  $$\frac{{8}}{{21}}$$

  ঘ

  $$\frac{{9}}{{22}}$$
• Two unbiased coins are tossed. What is probability of getting at most one tail ?
  ক

  $$\frac{{1}}{{2}}$$

  খ

  $$\frac{{2}}{{3}}$$

  গ

  $$\frac{{3}}{{2}}$$

  ঘ

  $$\frac{{3}}{{4}}$$
• When two coins are tossed simultaneously, what are the chances of getting at least one tail?
  ক

  $$\frac{{4}}{{5}}$$

  খ

  $$\frac{{1}}{{5}}$$

  গ

  $$\frac{{3}}{{4}}$$

  ঘ

  $$\frac{{1}}{{4}}$$
• A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
  ক

  $$\frac{{4}}{{9}}$$

  খ

  $$\frac{{5}}{{9}}$$

  গ

  $$\frac{{7}}{{9}}$$

  ঘ

  $$\frac{{8}}{{9}}$$
• Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even ?
  ক

  $$\frac{1}{2}$$

  খ

  $$\frac{3}{4}$$

  গ

  $$\frac{3}{8}$$

  ঘ

  $$\frac{5}{16}$$
• In a simultaneous throw of two dice, what is the probability of getting a total of 7?
  ক

  $$\frac{1}{6}$$

  খ

  $$\frac{1}{4}$$

  গ

  $$\frac{2}{3}$$

  ঘ

  $$\frac{3}{4}$$
• A coin is tossed live times. What is the probability that there is at the least one tail?
  ক

  $$\frac{{31}}{{32}}$$

  খ

  $$\frac{{1}}{{16}}$$

  গ

  $$\frac{{1}}{{2}}$$

  ঘ

  $$\frac{{1}}{{32}}$$
• The mean of a distribution is 15 and the standard deviation is 5. What is the value of the coefficient variation?
  ক

  16.66%

  খ

  66.66%

  গ

  33.33%

  ঘ

  100%
• If the standard deviation of a population is 6.5, what would be the population variance?
  ক

  40.25

  খ

  42.25

  গ

  18.25

  ঘ

  13
• If the standard deviation of a population is 4.5, what would be the population variance?
  ক

  20.25

  খ

  20

  গ

  9

  ঘ

  18
• The mean of a distribution is 20 and the standard deviation is 4. What is the value of the coefficient variation?
  ক

  10%

  খ

  20%

  গ

  40%

  ঘ

  60%
• If the standard deviation of a population is 7, what would be the population variance?
  ক

  14

  খ

  21

  গ

  49

  ঘ

  28
• In a simultaneous throw of two dice, what is the probability of getting a doublet ?
  ক

  1\/6

  খ

  1\/3

  গ

  4\/7

  ঘ

  4\/5
• Four dice are thrown simultaneously. Find the probability that all of them show the same face.
  ক

  1\/216

  খ

  1\/36

  গ

  2\/216

  ঘ

  4\/216
• Two dice are tossed. The probability that the total score is a prime number is:
  ক

  5\/12

  খ

  1\/6

  গ

  1\/2

  ঘ

  7\/9
• Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
  ক

  3\/4

  খ

  3\/8

  গ

  5\/16

  ঘ

  2\/7
• Three unbiased coins are tossed. What is the probability of getting at most two heads?
  ক

  3\/4

  খ

  7\/8

  গ

  1\/2

  ঘ

  1\/4
• Which of the following is not a condition of the binomial distribution?
  ক

  Must have at least 4 trials

  খ

  Only 2 possible outcomes

  গ

  Have a constant probability of success

  ঘ

  Trials must be independent