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Class 12 Mathematics: Probability
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MCQs on conditional probability, independent events, probability multiplication theorem, bayes theorem, random variables and its probability distributions, bernoulli trials and binomial distribution.

Class 12 Mathematics: Probability
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25 Questions

1. Find which of the following is a Continuous random variable?
2. Bag 1 contains 3 red and 5 black balls while another Bag 2 contains 4 red and 6 black balls. One ball is drawn at random from one of the bags and it is found to be red. Find the probability that it is drawn from bag 2.
3. Find the value of P(X ≥ 1)
4. Bag 1 contains 4 white and 6 black balls while another Bag 2 contains 4 white and 3 black balls. One ball is drawn at random from one of the bags and it is found to be black. Find the probability that it was drawn from Bag 1.
5. What is the other name for Bernoulli trials?
6. Previous probabilities in Bayes Theorem that are changed with the new available information are called __________
7. A bag contains 3 red, 2 white and 4 green balls. What is the probability of drawing the second ball to be white if the first ball drawn is white? The balls are not replaced in the bag.
8. Determine the value c so that the following function can serve as a probability distribution of the discrete random variable x:
f(x)=c(x+4), for x=0,1,2,3
9. What are independent events?
10. P(x; μ) = (e-μ) (μx) / x! is the formula for _____
11. A bag contains 4 red and 7 blue balls. What is the probability of drawing a blue ball if the first ball drawn is red? The balls drawn are replaced into the bag.
12. Which of this represents the multiplication theorem of probability?
13. What is the formula for the Poisson distribution probability?
14. A bag contains 4 red and 7 blue balls. What is the probability of drawing a blue ball if the first ball drawn is red? The balls drawn are not replaced in the bag.
15. What is the formula for binomial distribution?
16. A man is known to speak truth 3 out of 4 times. He throws a die and reports that it is a six. Find the probability that it is actually a six.
17. A bag contains 3 red, 2 white and 4 green balls. What is the probability of drawing the second ball to be green if the first ball drawn is red? The balls are replaced in the bag.
18. If P(A) = 5/13, P(B) = 7/13 and P(A∩B) = 3/13, evaluate P(A|B).
19. If E and F are two events associated with the same sample space of a random experiment then P (E|F) is given by _________
20. Bernoulli trials are also called as _____ or _____ questions.
21. A bag contains 4 red and 7 blue balls. What is the probability of drawing a red ball if the first ball drawn is blue? The balls drawn are not replaced in the bag.
22. A dice is thrown twice, what is the probability of getting two 3's?
23. A box contains 3 red and 4 blue marbles. Two marbles are drawn without replacement. What is the probability that the second marble is red if it is known the first marblel is red?
24. Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E∩F) = 0.2, then P(E|F) ?
25. Formula for Bayes theorem is ________

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