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Two events are said to be independent, as per the theory of probability, if the occurrence of one:

Two events are said to be independent, as per the theory of probability, if the occurrence of one: Correct Answer Does not effects the probability of occurrence of another

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The following are the two statements relating to the theory of probability. Indicate the statements being correct or incorrect.
Statement I The probability of the joint occurrence of independent events A and B is equal to the probability of event A multiplied by the probability of event B or vice-versa.
Statement II The probability of the joint occurrence of independent event A and dependent event B is equal to the probability of event A multiplied by the conditionalprobability of event B when event A has occurredor vice-versa.
Which of the following statements are true?
1. The classical approach to probability theory requires that the total number of possible outcomes be known or calculated and that each of the outcomes be equally likely.
2. A marginal probability is also known as unconditional probability.
3. For three independent events, the joint probability of the three events, P (ABC) = P (A) × P (B/A) × P (C/AB)
4. Two events are mutually exclusive, exhaustive and equally likely, the probability of either event A or B or both occurring P(A or B) = P(A) + P(B)
Consider the following statements: 1. Two events are mutually exclusive if the occurrence of one event prevents the occurrence of the other. 2. The probability of the union of two mutually exclusive events is the sum of their individual probabilities. Which of the above statements is/are correct?
A lady wants to buy the following items in the given price range- 1. Tomato between Rs. 40 and Rs. 45 per kg. 2. Grapes in the price range of Rs. 80 and Rs. 90 per kg. 3. Milk packets at Rs. 23 per liter. In which shop from the following will she definitely get all her items/ A. Shop S sells tomato at Rs. 22.5 per half kg, Grapes at Rs. 82 per kg and milk at Rs. 24 per liter. B. Shop H sells grapes at Rs. 21 per quarter kg, milk at 12.5 per half litre and tomato at Rs. 22 per half kg. C. Shop O sells milk at Rs. 11.5 per half litre, tomato at 21 per half kg and grapes at Rs. 43 per half kg. D. Shop P sells tomato at Rs. 23.5 per half kg, grapes at Rs. 85 per kg and milk at Rs. 23 per litre.
It is estimated that average number of events during an year is three. What is the probability of occurrence of not more than two events over a two year duration? Assume that the number of events follow a Poisson's distribution.
Below are given two sets in which Set I gives the named theory of Intelligence which set II indicated their main proponents and contentions associated with the theory. Match the two sets. Set I (Theory of Intelligence) Set II (The main proponents and contentions) (a) Multiple Factor Theory (i) Sternberg, intelligence can be taught and the classroom is the logical place to teach it. (b) Theory of Multiple Intelligence (ii) Cattell, intelligence is neither completely monarchic, nor oligarchic nor anarchic. (c) Theory of Fluid and Crystallized Intelligence (iii) Thurstone, intelligence is oligarchic in nature. (d) Coping Theory of Intelligence (iv) Gardner, intelligence is a capacity with component processes and should not be confused with a learning or cognitive style.   Choose correct answer from following.
Arrange the following steps in sequence in order to calculate the probability of an event through Naïve Bayes classifier. I. Find the likelihood probability with each attribute for each class. II. Calculate the prior probability for given class labels. III. Put these values in Bayes formula and calculate posterior probability. IV. See which class has a higher probability, given the input belongs to the higher probability class.
A probability distribution with right skew is shown in the figure.
Probability and Statistics mcq question image
The correct statement for the probability distribution is
The probability of simultaneous occurrence of at least one of two events A and B is p. If the probability that exactly one of A, B occurs is q, then P (A′) + P (B′) = ?
The conceptual framework of labour welfare is contained in various theories of labour welfare. In the names of the theories given below, pick the wrong ones
1. The Trusteeship Theory
2. The Placating Theory
3. The Need Theory
4. The Friendship Theory
5. The Public Relations Theory
6. The Functional Theory