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  • Question
  • Two letters are randomly chosen from the word TIME. Find the probability that the letters are T and M?


  • Options
  • A. 1/4
  • B. 1/6
  • C. 1/8
  • D. 4

  • Correct Answer
  • 1/6 

    Explanation

    Required probability is given by P(E) =  n ( E ) n ( S )   =   1 4 C 2   =   1 6

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    Probability problems


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    • 1. A person starting with 64 rupees and making 6 bets, wins three times and loses three times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is:

    • Options
    • A. A gain of Rs. 27
    • B. A loss of Rs. 37
    • C. A loss of Rs. 27
    • D. A gain of Rs. 37
    • Discuss
    • 2. What is the probability that a leap year has 53 Saturdays and 52 Sundays ?

    • Options
    • A. 1/7
    • B. 2/7
    • C. 1/2
    • D. 3/2
    • Discuss
    • 3. 14 persons are seated around a circular table. Find the probability that 3 particular persons always seated together.

    • Options
    • A. 11/379
    • B. 21/628
    • C. 24/625
    • D. 26/247
    • Discuss
    • 4. In a race, the odd favour of cars P,Q,R,S are 1:3, 1:4, 1:5 and 1:6 respectively. Find the probability that one of them wins the race.

    • Options
    • A. 319/420
    • B. 27/111
    • C. 114/121
    • D. 231/420
    • Discuss
    • 5. There are four hotels in a town. If 3 men check into the hotels in a day then what is the probability that each checks into a different hotel?

    • Options
    • A. 1/2
    • B. 3/4
    • C. 4/7
    • D. 3/8
    • Discuss
    • 6. An urn contains 4 white 6 black and 8 red balls . If 3 balls are drawn one by one without replacement, find the probability of getting all white balls.

    • Options
    • A. 5/204
    • B. 1/204
    • C. 13/204
    • D. None of these
    • Discuss
    • 7. Two brother X and Y appeared for an exam. The probability of selection of X is 1/7 and that of B is 2/9. Find the probability that both of them are selected.

    • Options
    • A. 1/63
    • B. 1/14
    • C. 2/63
    • D. 1/9
    • Discuss
    • 8. Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a club and other in King

    • Options
    • A. 1/52
    • B. 1/26
    • C. 1/13
    • D. 1/2
    • Discuss
    • 9. A bag contains 3 red balls, 5 yellow balls and 7 pink balls. If one ball is drawn at random from the bag, what is the probability that it is either pink or red?

    • Options
    • A. 2/3
    • B. 1/8
    • C. 3/8
    • D. 3/4
    • Discuss
    • 10. When two dice are thrown simultaneously, what is the probability that the sum of the two numbers that turn up is less than 12?

    • Options
    • A. 35/36
    • B. 17/36
    • C. 15/36
    • D. 1/36
    • Discuss


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