Learn Aptitude: Probablity

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There are 5 doors in a lecturer room. Two are red and the others are green. In how many ways can a lecturer enter the room and leave the room different colored doors ?A. 1B. 3C. 6D. 9E. 12
Every body in  a room shakes hands with everybody else.The total number of hand shakes is 66.The total number of persons in the room isA.11B.12C.13D.14E.16
An unbiased die is thrown 6 times. What is the probability that the numbers will have a product which is an even number.
Ray plays a game involving throw of 2 unbiased dice where the person throwing a total of 7 or 11 is the winner. What is the probability of Ray winning the game.A. 1/9  B. 2/9   C. 4/9   D. 5/9   E. None of these
Mr. A is called for 3 interviews. There are 5 candidates at the first interview, 4 at the second and 6 at the third. If the selection of each candidate is equally likely then the probability that A will be selected for atleast one post isA. 1 / 2B. 1 / 3C. 1 / 4D. 1 / 9E. 2 / 5
The probability that A will fail in an examination is 0.2 and that of B failing is 0.3 . The probability that exactly one of them will fail is a) 0.38b) 0.35 c) 0.42d) 0.62e) 0.32
The probability that a teacher will give an unannounced test during any class meeting is 1/5.If a student is absent twice,then the probability that the student will miss at least one test isA.4/5B.2/5C.7/75D.9/25E.8/25
A student is given true false examination with 10 questions. If he gets 8 or more correct he passes the examination. The probability that he passes the examination isA. 1/128B. 1/16C. 7/128D. 3/128E. 9/16
Four persons entered into the lift cabin on the ground floor of a 7 floor house. Suppose that each of them independently and with equal probability can leave the cabin at any floor begining with the first.The probability of all 4 persons leaving at different floor isA. 5/18B. 7/18C. 6/18D. 9/18E. None
The ratio of the number of red balls, to yellow balls, to green balls in a urn is 2: 3: 4. What is the probability that a ball chosen at random from the urn is a red ball ?A. 2/9B. 3/9C. 4/9D. 5/9E. 7/9
Sixty percent of the members of a study group are women, and 45 percent of those women are lawyers. If one member of the study group is to be selected at random,what is the probability that the member selected is a women lawyer ?A. 0.10B. 0.15C. 0.27D. 0.33E. 0.45
Two integers will be randomly selected from the sets below, one integer from set A and one integer from set B.What is the probability that the sum of the two integers will equal 9?A= {2, 3, 4, 5}   B= {4, 5, 6, 7, 8}A. 0.15B. 0.20C. 0.25D. 0.30E. 0.33