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question_answer1) A company sends performance letters to its employee at the end of the year with some advice of improvement if required for the employee. In the process the company sends three letters to three of its employee addressed to each of them. The clerk of the company inserted the letters into the envelopes at random so that each envelopes contains one letter without taking care of the address on the envelope. Find the probability that at least one letter reaches the correct address.
question_answer2) In a number game a child has to choose six different natural numbers form the set of first 20 natural numbers. If his six numbers matches the number in the given sequence of six number then he wins the prize. The probability that a child does not win the prize in that game is____.
question_answer3) If the letters of the word 'UNIVERSITY' are arranged randomly, then find the probability that no two 'I' comes together.
question_answer4) Four cards are drawn from the pack of 52 cards. The probability of drawing the four cards of same suits from the pack of 52 cards is____.
question_answer5) Mary plays card game with her friend Micheal. Micheal asked her to draw two cards from the pack such that both the cards are either red or king. Find the probability of her success.
question_answer6) Three people Smith, Harish and Robert went for a job interview in a company. The probability that Smith is selected is twice that of Harish and the probability of Harish being selected is thrice that of Robert. The probability that Smith is selected for the job in the interview is______.
question_answer7) A cycic person starts moving in such a way that the probability that he takes steps forward is 0.4 and he takes steps backward is 0.6. The probability that at the end of 11th steps he is one step away from the starting point is_____.
question_answer8) Three dice are rolled together. Find the probability of getting total atleast 6.
question_answer9) Three friends Jack, Robert and Mary tries to solve a problem. The probabilities that each of them solve the problem are respectively. Find the probabilities that exactly one of them solves the problem if all of them try to solve the problem.
question_answer10) Robert speaks truth in 60% of cases and Mary speaks truth in 90% of cases. If both of them are asked to give a statement/then the probability that they contradict each other?s statements is:
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