1. Two or more events are said to be …………………… if the occurrence of any one event affects the probability of occurrence of the other even
A. Reliable
B. Statistically independent
C. Statistically dependent
D. None of the above
2. There are three types of probability under statistical dependence case
A. Three
B. Two
C. Five
D. None of the above
3. The joint probability of two statistically dependent events A and B is given by the following formula:
A. P (AB) = P (A/B) × P (B)
B. P (AB) = P (A/B) + P (B)
C. P (AB) = P (A/B) / P (B)
D. None of the above
4. ……………… probability forms the basis for joint and marginal probabilities concept.
A. Conditional
B. Normal
C. Alternate
D. None of the above
5. Joint probability under the condition of Statistical Dependence is an extension of the ……………… rule of probability.
A. Multiplication
B. Addition
C. Subtraction
D. None of the above
6. Conditional probability of event A, given that the event B has already occured, can be calculated as follows:
A. P (A/B) = P (AB)*P (B)
B. P (A/B) = P (AB)/P (A)
C. P (A/B) = P (AB)/P (B)
D. None of the above
7. Marginal probability under the condition of statistical dependence can be computed by ……………… up all the probabilities of those joint events in which that event occurs whose marginal probability we want to calculate.
A. Multiplying
B. Reducing
C. Summing
D. None of the above
8. In a drawer there are 4 white socks, 3 blue socks and 5 grey socks. Two socks are picked randomly. What is the possibility that both the socks are of same color?
A. 4/11
B. 19/66
C. 2/33
D. 1
9. A box containing 10 balls which have the following distribution on the basis of colour and pattern. 3 are coloured and dotted, 1 is coloured and stripped, 2 are grey and dotted, and 4 are grey and stripped. a) Suppose someone draws a coloured ball from the box. Find what the probability that it is dotted?
A. 0.50
B. 0.75
C. 0.25
D. 0.85
10. Probabilities before revision by Bayes’ concept are termed as
A. Posterior probabilities
B. Priori probabilities
C. Independent probabilities
D. None of the above
11. The method in which the previously calculated probabilities are revised with new probabilities is known as
A. Dependency theorem
B. Updated theorem
C. Dependency theorem
D. Bayes theorem
12. Bayes theorem is based on the formula for ………… probability under statistical dependence
A. Joint
B. Conditional
C. Marginal
D. None of the above
13. The previous probabilities in the Bayes theorem that are changed with the help of new available information are classified as
A. Interior probabilities
B. Dependent probabilities
C. Posterior probabilities
D. Independent probabilities
14. The …………… probability is the probability of event A occurring given that event B has occurred.
A. Posterior
B. Prior
C. Updated
D. None of the above
15. There is a drug test that is 98% accurate, meaning 98% of the time it shows a true positive result for someone using the drug and 98% of the time it shows a true negative result for nonusers of the drug. Next, assume 0.5% of people use the drug. If a person selected at random tests positive for the drug, find the probability whether the person is actually a user of the drug.
A. 39. 43
B. 18.57%
C. 9.76%
D. 19.76%
16. Posterior probabilities are also termed as
A. Independent probabilities
B. Revised probabilities
C. New probabilities
D. None of the above
17. A bag I contain 4 white and 6 black balls while another Bag II 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 I.
A. 7/12
B. 12/7
C. 5/12
D. 3/8
18. A man is known to speak truth 2 out of 3 times. He throws a die and reports that the number obtained is a four. Find the probability that the number obtained is actually a four.
A. 5/7
B. 6/8
C. 2/7
D. 3/8
19. Bayes theorem is also known as the formula for the probability of …………….
A. Effects
B. Results
C. Causes
D. None of the above
20. A tabular recording of the probabilities of all the possible outcomes that could result if random experiment is done is called
A. Probability Distribution
B. Random Distribution
C. Tabular Distribution
D. None of the above