Probability questions
692 published questions with worked solutions.
- If A and B are mutually exclusive and exhaustive events with P(A) = 1 2 P(B) and A B = S (total sample space), then P(A) is equal...
- Two dice are tossed once. The probability of getting even number at the first die or a total of 8 is
- Let A, B and C be the three events such that P(A) = 0.3, P(B) = 0.4, P(C) = 0.8, P(A B) = 0.08, P(A C) = 0.28 and P(A B C) =...
- If A and B are independent events of a random experiment such that P(A B) = 1 6 and P( A B ) = 1 3 , then P(A) is equal to
- The probability that a leap year selected at random will contain either 53 Thursday or 53 Friday is
- The chances to fail in Physics are 20 % and the chances to fail in Mathematics are 10 %. What are the chances to fail in at least...
- A parents has two children. If one of them is boy, then the probability that other is also a boy, is
- The probability that at least one of the events A and B occurs is 0.6. If A and B occur simultaneously with probability 0.2, then...
- If A and B are two events such that P(A) > 0 and P(B) 1, then P( A / B ) is equal to
- An anti-aircraft gun can take a maximum of four shots at any plane moving away from it. The probabilities of hitting the plane at...
- If M and N are any two events, the probability that exactly one of them occurs is (for an event set A, the complement is A^c)
- If P(B) = 3 4 , P(A B C ) = 1 3 and P( A B C ) = 1 3 , then P(B C) is equal to
- A bag contains 5 white and 3 black balls and 4 balls are successively drawn out and not replaced. The probability that they are...
- If events are independents and P(A) = 1 3 , P(B) = 1 3 and P(C) = 1 4 , then P(A' B' C') is equal to
- Two dice are rolled one after the other, The probability that the number on the first is smaller than the number on the second, is
- If A, B are two events such that P(A') = 0.3, P(B) = 0.4 and P(A B') = 0.5, then P(A B') is equal to
- If E and F are two independent events such that 0 < P(E) < 1 and 0 < P(F) < 1, then
- A student answers a multiple choice question with 5 alternatives, of which exactly one is correct. The probability that he knows...
- A man is known to speak the truth 3 out of 4 times. He throws a die and reports that it is six. The probability that it is...
- If a machine is correctly set up, it produces 90 % acceptable items. If it is incorrectly set up, it produces only 40 %...
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