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  • Question
  • Two dice are thrown together .What is the probability that the sum of the number on the two faces is divided by 4 or 6.


  • Options
  • A. 7/18
  • B. 14/35
  • C. 8/18
  • D. 7/35

  • Correct Answer
  • 7/18 

    Explanation

    Clearly, n(S) = 6 x 6 = 36
    Let E be the event that the sum of the numbers on the two faces is divided by 4 or 6.
    Then,E = {(1,3),(1,5),(2,2),(2,4),(2,6),(3,1),(3,3),(3,5),(4,2),(4,4),(5,1),(5,3),(6,2),(6,6)}
    n(E) = 14.
    Hence, P(E) = n(E)/n(S) = 14/36 = 7/18


  • Probability problems


    Search Results


    • 1. A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:

    • Options
    • A. 2/91
    • B. 1/22
    • C. 3/22
    • D. 2/77
    • Discuss
    • 2. What is the probability of getting 53 Mondays in a leap year?

    • Options
    • A. 1/7
    • B. 3/7
    • C. 2/7
    • D. 1
    • Discuss
    • 3. Two dice are tossed. The probability that the total score is a prime number is:

    • Options
    • A. 5/12
    • B. 1/6
    • C. 1/2
    • D. 7/9
    • Discuss
    • 4. 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?

    • Options
    • A. 1/2
    • B. 3/5
    • C. 9/20
    • D. 8/15
    • Discuss
    • 5. In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?

    • Options
    • A. 2/7
    • B. 5/7
    • C. 1/5
    • D. 1/2
    • Discuss
    • 6. A letter is takenout at random from 'ASSISTANT' and another is taken out from 'STATISTICS'. The probability that they are the same letter is :

    • Options
    • A. 35/96
    • B. 19/90
    • C. 19/96
    • D. None of these
    • Discuss
    • 7. 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:

    • Options
    • A. 21/46
    • B. 1/5
    • C. 3/25
    • D. 1/50
    • Discuss
    • 8. A basket contains 10 apples and 20 oranges out of which 3 apples and 5 oranges are defective. If we choose two fruits at random, what is the probability that either both are oranges or both are non defective?

    • Options
    • A. 136/345
    • B. 17/87
    • C. 316/435
    • D. 158/435
    • Discuss
    • 9. Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:

    • Options
    • A. 3/20
    • B. 29/34
    • C. 47/100
    • D. 13/102
    • Discuss
    • 10. A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?

    • Options
    • A. 3/7
    • B. 4/7
    • C. 1/8
    • D. 3/4
    • Discuss


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