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Arithmetic Aptitude :: Probability

  1. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

  2. A.

    \(\frac { 1 } { 2 }\)

    B.

    \(\frac { 2 } { 5 }\)

    C.

    \( \frac { 8 } {15 }\)

    D.

    \(\frac { 9 } { 20 } \)

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  3. A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

  4. A.

    \(\frac { 10 } { 2 1}\)

    B.

    \( \frac { 11 } { 2 1} \)

    C.

    \( \frac { 2} { 7 } \)

    D.

    \( \frac { 5} { 7 } \)

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  5. In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

  6. A.

    \( \frac { 1 } { 3 }\)

    B.

    \( \frac { 3 } {4 } \)

    C.

    \( \frac { 7 } {19 } \)

    D.

    \(\frac {8 } { 21 } \)

    E.

    \(\frac {9 } { 21 } \)

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  7. What is the probability of getting a sum 9 from two throws of a dice?

  8. A.

    \(\frac { 1 } { 6 }\)

    B.

    \(\frac { 1 } { 8 }\)

    C.

    \(\frac { 1 } { 9 }\)

    D.

    \(\frac { 1 } { 12 }\)

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  9. Three unbiased coins are tossed. What is the probability of getting at most two heads?

  10. A.

    \( \frac { 3 } {4}\)

    B.

    \( \frac { 1 } {4}\)

    C.

    \( \frac { 3 } {8}\)

    D.

    \( \frac { 7 } {8}\)

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  11. Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

  12. A.

    \(\frac { 1 } { 2 } \)

    B.

    \( \frac { 3 } { 4 } \)

    C.

    \( \frac { 3 } { 8 } \)

    D.

    \(\frac { 5 } { 16 } \)

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  13. In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:

  14. A.

    \(\frac { 21 } { 46 }\)

    B.

    \(\frac { 25 } { 117 }\)

    C.

    \( \frac { 1 } { 50} \)

    D.

    \(\frac { 3 } { 25 } \)

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  15. In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?

  16. A.

    \( \frac { 1 } { 10 } \)

    B.

    \( \frac { 2 } {5} \)

    C.

    \( \frac { 2 } {7} \)

    D.

    \( \frac { 5 } {7} \)

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  17. From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

  18. A.

    \( \frac { 1 } { 15 } \)

    B.

    \(\frac { 25 } { 57 } \)

    C.

    \(\frac { 35 } { 256 } \)

    D.

    \(\frac { 1 } { 221 } \)

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  19. Two dice are tossed. The probability that the total score is a prime number is:

  20. A.

    \(\frac { 1 } { 6 } \)

    B.

    \( \frac { 5 } { 12 } \)

    C.

    \(\frac { 1 } { 2 } \)

    D.

    \(\frac { 7 } { 9} \)

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