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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.
The probability of occurring an event is 0.45. Find the probability of not occurring the event.
The probability of an event occurring is 0.39, then what will be the probability of this event not occurring?
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)
The probability of an event ‘A’ happening on Monday is 40% and probability of event ‘B’ happening on Monday is 35%, what is the probability that either event A or event B is happening on Monday?
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.
There are 'm' number of favourable eases to event A and 'n' are non-favourable eases, both are equally likely and mutally exclusive, the probability of occurring the event A is $$P\left( A \right) = \frac{m}{{m + n}}.$$   This formula corresponds to which one of the following approaches to probability?
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
What is the sum of the probability of an event and its complementary event occurring together?
The question below is followed by statements I, II, and III. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. The difference between the compound interest and simple interest on a certain sum at a certain rate of interest per annum for two years is 204.20. What is the amount received on the sum of compound interest at the same rate of interest at the end of three years. I. The difference between the compound interest and the simple interest on the sum for three years is 804.258. II. The sum becomes Rs. 14528 at the end of one year. III. The compound interest on the sum for two years is 7% more than the simple interest on the sum for two years.