Probability - One Shot | All Concepts | Addition, Multiplication Rule | Statistics | Applied Maths скачать в хорошем качестве

Probability - One Shot | All Concepts | Addition, Multiplication Rule | Statistics | Applied Maths

Probability - One Shot | All Concepts | Addition, Multiplication Rule | Statistics | Applied Maths Introduction to Probability Sample Space Mutually Exclusive Events Independent Events Dependent Events Two Dice and Coins based concept Conditional Probability Expected Value Q64.A newly published book is given to ten students. If seven students favoured this book then odds in favour are [a] 10 : 7 [b] 7 : 3 [c] 3 : 1 [d] 7 : 10 Q65. Find the probability of an event A, if odds in favour of it are 3 : 2. [a] 2/5 [b] 3/5 [c] 1 [d] 2/3 Q66. Find the probability of an event B, if odds in favour of it are 3 : 5. [a] 3/8 [b] 5/8 [c] 2/8 [d] 8/3 Q67.Find the probability that price increases if odds against it are 4 : 3. [a] 1/4 [b] 1/3 [c] 1/7 [d] 3/7 Q68.Find the probability that price remains constant if odds in favour of it are 5 : 2. [a] 2/5 [b] 5/2 [c] 5/7 [d] 2/7 Q69.If p : q are the odds in favour of an event, then the probability of that event is (a) p/q (b) (c) (d) none of these. Q70.If P(A) = 5/9, then the odds against the event A is : (a) 5 : 9 (b) 5 : 4 (c) 4 : 5 (d) 5 : 14 Q71.If an unbiased die is rolled once, the odds in favour of getting a point which is a multiple of 3 is : (a) 1 : 2 (b) 2 : 1 (c) 1 : 3 (d) 3 : 1 Q96. A card is drawn from each of two well-shuffled packs of cards. The probability that at least one of them is an ace is : (a) 1/169 (b) 25/169 (c) 2/13 (d) none Q97. A, B and C are three mutually exclusive and exhaustive events such that P(A) = 2 P (B) = 3P(C). What is P (B) ? (a) 6/11 (b) 6/22 (c) 1/6 (d) 1/3 Q98. It is given that a family of 2 children has a girl, what is the probability that the other child is also a girl ? (a) 0.50 (b) 0.75 (c) 1/3 (d) 2/3 Q100. A bag contains 3 red and 2 green balls. What is the probability that 2 balls drawn are (a) all red (b) all green (c) one red and one green. Q101.Two balls are drawn from a bag containing 5 white and 7 back balls at random. What is the probability that they would be of different colours ? (a) 35/66 (b) 30/66 (c) 12/66 (c) None of these Q102. A committee of 3 people is to be appointed from 3 officers of the production department, 2 officers of the purchase department & one officer of the sales department. Find the probability of forming the committee that there must be one from each category. [a] 1/10 [b] 2/10 [c] 3/10 [d] 4/10 a Q103. What is the chance of getting at least one defective item if 3 items are drawn randomly from a lot containing 6 items of which 2 are defective item ? (a) 0.30 (b) 0.20 (c) 0.80 (d) 0.50 Q104.If two letters are taken at random from the word HOME, what is the Probability that none of the letters would be vowels ? (a) 1/6 (b) 1/2 (c) 1/3 (d) 1/4 Q105.A and B played 12 games of chess. A won six games and B 4 games and 2 games end in tie. Now they agree to play three more games. What is a probability that (i) A and B wins alternatively : (ii) A wins all the games. (iii) A looses all the games. Q106. If for two events A and B, P(AUB) = 1, then A and B are (a) Mutually exclusive events (b) Equally likely events (c) Exhaustive events (d) Dependent events. Q108. Mr. Roy is selected for three separate posts. For the first post, there are three candidates, for the second, there are five candidates and for the third, there are 10 candidates. What is the probability that Mr. Roy would be selected : [a] 13/27 [b] 12/26 [c] 13/25 [d] 12/25 Q109.The independent probabilities that the three sections of a costing department will encounter a computer error are 0.2, 0.3 and 0.1 per week respecctively what is the probability that there would be at least one computer error per week : [a] 0.60 [b] 0.50 [c] 0.70 [d] 0.80 Q110. There are three persons A, B and C having different ages. The probability that A survives another 5 years is 0.80, B survives another 5 years is 0.60 and C survives another 5 years is 0.50. The probabilities that A and B survive another 5 years is 0.46, B and C survive another 5 years is 0.32 and A and C survive another 5 years 0.48. The probability and all these three persons survive another 5 years is 0.26. Find the probability that at least one of them survives another 5 years : [a] 0.80 [b] 0.90 [c] 0.70 [d] 0.60 Q111. What is the probability of having at least one 'six' from 3 throws of a perfect dice ? (a) 5/6 (b) (5/6)3 (c) 1- (1/6)3 (d) 1 - (5/6)3 Q112.Find the probability that a four digit number comprising the digits 2, 5, 6 and 7 would be divisible by 4. [a] 1/2 [b] 2/3 [c] 1/3 [d] 1/4 Q117. What is expected value of Numbers when a dice is thrown once : [a] 1/6 [b] 6 [c] 3.5 [d] 21 Q118. The expected value of X, the sum of the scores, when two dice are rolled is : (a) 9 (b) 8 (c) 6 (d) 7