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


  • Options
  • A. 3/4
  • B. 3/8
  • C. 5/16
  • D. 2/7

  • Correct Answer
  • 3/4 

    Explanation

    In a simultaneous throw of two dice, we have n(S) = (6 x 6) = 36.

    Then, E= {(1, 2), (1, 4), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 2), (3,4),(3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 2), (5, 4), (5, 6), (6, 1),6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

    n(E) = 27.

    P(E) = n(E)/n(S) = 27/36 = 3/4.


  • Probability problems


    Search Results


    • 1. A box contains 10 bulbs,of which just three are defective. If a random sample of five bulbs is drawn, find the probability that the sample contains exactly one defective bulb.

    • Options
    • A. 5/12
    • B. 7/12
    • C. 3/14
    • D. 1/12
    • Discuss
    • 2. The probabilities that a student will receive an A, B, C or D grade are 0.4, 0.3 , 0.2 and 0.1 respectively. Find the probability that a student will receive Atleast B grade.

    • Options
    • A. 0.21
    • B. 0.3
    • C. 0.7
    • D. None of these
    • Discuss
    • 3. Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is :

    • Options
    • A. 2/9
    • B. 1/9
    • C. 8/9
    • D. 7/9
    • Discuss
    • 4. A word consists of 9 letters; 5 consonants and 4 vowels.Three letters are choosen at random. What is the probability that more than one vowel will be selected ?

    • Options
    • A. 13/42
    • B. 17/42
    • C. 5/42
    • D. 3/14
    • Discuss
    • 5. There are 26 balls marked with alphabetical order A to Z. What is the probability of selecting vowels listed balls?

    • Options
    • A. 1
    • B. 21/26
    • C. 5/26
    • D. 5
    • Discuss
    • 6. What is the probability of getting a sum 9 from two throws of a dice?

    • Options
    • A. 1/2
    • B. 3/4
    • C. 1/9
    • D. 2/9
    • Discuss
    • 7. In a single throw of two dice , find the probability that neither a doublet nor a total of 8 will appear.

    • Options
    • A. 7/15
    • B. 5/18
    • C. 13/18
    • D. 3/16
    • Discuss
    • 8. 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?

    • Options
    • A. 1/3
    • B. 3/5
    • C. 8/21
    • D. 7/21
    • Discuss
    • 9. Four dice are thrown simultaneously. Find the probability that all of them show the same face.

    • Options
    • A. 1/216
    • B. 1/36
    • C. 2/216
    • D. 4/216
    • Discuss
    • 10. The probability that z lies between 0 and 3.01

    • Options
    • A. 0.4987
    • B. 0.5
    • C. 0.9987
    • D. 0.1217
    • Discuss


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