Probability questions
692 published questions with worked solutions.
- A person draws out two balls successively from a bag containing 6 red and 4 white balls. The probability that atleast one of them...
- If A and B are mutually exclusive events with P(B) 1, then P(A B ) is equal to (here, B is the complement of the event B)
- If n positive integers are taken at random and multiplied together, then the probability that the last digit of the product is 2,...
- X speaks truth in 60 % of the cases and Y in 50 % of the cases. The probability that they contradict each other narrating the...
- The probability that in the toss of two dice, we obtain the sum 7 or 11 is
- If the probability of A to fail in an examination is 0.2 and that for B is 0.3, then probability that either A or B is fail, is
- An integer is chosen at random from first two hundred numbers. Then, the probability that the integer chosen is divisible by 6 or...
- A coin and six faced die, both unbiased, are thrown simultaneously. The probability of getting a head on the coin and an odd...
- A purse contains 4 copper and 3 silver coins. Another purse contains 6 copper and 2 silver coins. A coin is taken out from any...
- Two cards are drawn from a pack of 52 cards one after other without replacement. What is the probability that both cards are ace...
- The probability of one event A happening is the square of the probability of second event B, but the odds against the event A are...
- Letters in the word HULULULU are rearranged. The probability of all three L's being together is
- A special dice with numbers 1, -1, 2, -2, 0 and 3 is thrown thrice. What is the probability that the sum of the numbers occurring...
- There is 25% chance that it rains on any particular day. What is the probability that there is at least one rainy day within a...
- A salesman has a 70% chance to sell a product to any customer. The behaviour of successive customers is independent. If two...
- A student appears for tests I, II and III. The student is considered successful if he passes in tests I, II or I, III or all the...
- Three candidates solve a question. Odds in favour of the correct answer are 5 : 2, 4 : 3 and 3 : 4 respectively for the three...
- A medicine is known to be 75% effective to cure a patient. If the medicine is given to 5 patients, what is the probability that...
- For two events, A and B, it is given that P(A)= 3 5 , P(B)= 3 10 and P(A|B)= 2 3 . If A and B are the complementary events of A...
- A machine has three parts, A, B and C, whose chances of being defective are 0 02, 0 10 and 0 05 respectively. The machine stops...
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