Probability 0 Probability 1 / 30 Q.30 Probability of occurrence of atleast one of the events A and B is denoted by P(AB) P(A+B) P(A/B) None 2 / 30 Q.29 If for two events A">AA and B,P(A∩B)≠P(A)×P(B),">B,P(A∩B)≠P(A)×P(B),B,P(A∩B)≠P(A)×P(B), then the two events A">AA and B">BB are Independent Dependent Not equally likely Not exhaustive 3 / 30 Q.28 If A">AA is an event and Ac">AcAc its complementary event then P ( A ) = P A c − P A c = 1 − P ( A P ( A ) = 1 + P A c None 4 / 30 Q.27 Sum of probability of an event A and its complement is 1 0 1/2 -1/2 5 / 30 Q.26 _____ of all probabilities is equal to 1. Sum Difference Product None of the above 6 / 30 Q.25 The probability of an event can assume any value between 1 and 1 0 and 1 1 and 0 None of these 7 / 30 Q.24 If an unbiased coin is tossed once, then the two events head and tail are Mutually exclusive Exhaustive Equally likely All these 8 / 30 Q.23 If P(A) = 1, then the event A is known as Symmetric event Dependent event Improbable event Sure event 9 / 30 Q.22 If one of outcomes cannot be expected to occur in preference to the other in an experiment the events are Simple events Compound events Favourable events Equally likely 10 / 30 Q.21 When none of the outcomes is favourable to the event then the event is said to be Certain Sample Impossible None 11 / 30 Q.20 The complete group of all possible outcomes of a random experiment given set of events. Mutually exclusive Exhaustive Both None 12 / 30 Q.19 If for two events A">AA and B,P(A∪B)=1,">B,P(A∪B)=1,B,P(A∪B)=1, then A">AA and B">BB are Mutually exclusive events Equally likely events Exhaustive events Dependent events 13 / 30 Q.18 If two events A and B are independent, then They can be mutually exclusive They cannot be mutually exclusive They cannot be exhaustive Both (2) and (3) 14 / 30 Q.17 If two events A and B are independent, then A and the complement of B are independent B and the complement of A are independent Complements of A and B are independent All of these (1), (2) and (3) 15 / 30 Q.16 If two events A">AA and B">BB are independent, then P(A∩B)i.e">P(A∩B)i.eP(A∩B)i.e. P">PP (Both A&B)">A&B)A&B) Equals to P(A) + P(B). Equals to P(A) x P(B). Equals to P(A) x P(B/A). Equals to P(B) x P(A/B). 16 / 30 Q.15 Which of the following pairs of events are mutually exclusive? A: The students reads in a school; B: He studies Philosophy. A: Raju was born in India; B; He is a fine Engineer. A: Ruma is 16 years old; B: She is a good singer. A: Peter is under 15 years of age; B: Peter is a voter of Kolkata 17 / 30 Q.14 When the probability that either A"> A">AA or B">BB occur then P(A∪B)=P(A)+P(B)">P(A∪B)=P(A)+P(B)P(A∪B)=P(A)+P(B) if the events A">AA &B">&B&B are independent mutually exclusive dependent conditional 18 / 30 Q.13 If the events A">AA and B">BB are mutually exclusive then P(A∩B)">P(A∩B)P(A∩B) is equal to 1 P (A) P (B) 0 P ( A ) + P ( B ) P ( A ∪ B ) 19 / 30 Q.12 If events are mutually exclusive, then Their probabilities are less than one Their probabilities sum to one Both events cannot occur at the same time Both of them contain every possible outcome of an experiment 20 / 30 Q.11 An event that can be split into further events is known as Complex event Mixed event Simple event Composite event 21 / 30 Q.10 The classical definition of probability is based on the feasibility at subdividing the possible outcomes of the experiments into Mutually exclusive and exhaustive Mutually exclusive and equally likely Exhaustive and equally likely Mutually exclusive, finite, exhaustive and equally likely cases 22 / 30 Q.9 An experiment is known to be random if the results of the experiment Cannot be predicted Can be predicted Can be split into further experiments Can be selected at random 23 / 30 Q.8 Subjective probability may be used in Mathematics Statistics Management Accountancy 24 / 30 Q.7 Two broad divisions of probability are Subjective probability and objective probability Deductive probability and non-deductive probability Statistical probability and Mathematical probability None of these 25 / 30 Q.6 Initially, probability was a branch of Physics Statistics Mathematics Economics 26 / 30 Q.5 If x and y are 2 random variable such that y =8 -7x then v(y) is given by − 7 × σ x − 7 × v ( x ) 49 × v ( x ) 8 − 7 . v ( x ) 27 / 30 Q.4 Anita and Binita stand in a line with 7 other people. What is the probability that there are 4 persons between them? 2/9 9/1 9/2 1/9 28 / 30 Q.3 Two cards are drawn from a pack of 52 cards at random and kept out. Them one card is drawn from the remaining 50 cards. Find the probability that it is ace. 3/25 4/25 2/25 1/25 29 / 30 Q.2 A committee of 4 people is to be appointed from 3 officers of the production department, 4 officers of the purchase department, 2 officers of the sales department and 1 charted accountant. Find the probability of forming the committee in which it should have at least one from the purchase department. 13/14 1/14 12/17 3/14 30 / 30 Q.1 When 2 dice are thrown the probablility of getting the sum of the score as a perfect square is 5/36 1/12 1/6 None of these Your score is LinkedIn Facebook Twitter VKontakte
