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By Probability 1 Comment

If a dice is rolled twice then what is the probability that the sum of the number of dots shown is 8?

A. 5/36
B. 4/36
C. 1/12
D. 1/2

o find the probability of rolling a sum of 8 on two dice rolls, we need to enumerate all the possible outcomes where the sum is 8 and then divide it by the total number of outcomes when rolling two dice.

The possible combinations of rolls that result in a sum of 8 are:
(2, 6), (3, 5), (4, 4), (5, 3), and (6, 2).

Each die has 6 faces, so there are 6 possible outcomes for each roll. Thus, the total number of outcomes when rolling two dice is
6×6=36

Therefore, the probability of rolling a sum of 8 is the number of favorable outcomes (5) divided by the total number of outcomes (36).

So, the correct answer is A.
5/36

Related Mcqs:

  1. Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is__________?

    A. 7/12
    B. 5/9
    C. 1/36
    D. 5/12

  2. Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is -.

    A. 5/9
    B. 5/12
    C. 1/36
    D. 7/12

  3. A man invests a certain sum of money at 6% per annum simple interest and another sum at 7% per annum simple interest. His income from interest after 2 years was Rs. 354. One-forth of the first sum is equal to one-fifth of the second sum. The total sum invested was :

    A. Rs.3100
    B. Rs.2700
    C. Rs.2200
    D. Rs.1800

  4. Three dice (each having six faces with each face having one number from 1 or 6) are ralled. What is the number of possible outcomes such that atleast one dice shows the number 2?

    A. 36
    B. 81
    C. 91
    D. 116

  5. If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is__________?

    A. 1/4
    B. 1/2
    C. 3/4
    D. 3/5

  6. Three 6 faced dice are thrown together. The probability that all the three show the same number on them is -.

    A. 1/216
    B. 1/36
    C. 5/9
    D. 5/12

  7. A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest?

    A. 3.46%
    B. 4.5%
    C. 5%
    D. 6%

  8. A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?

    A. 24 hours
    B. 28 hours
    C. 32 hours
    D. 36 hours

  9. A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?

    A. 20 hrs
    B. 25 hrs
    C. 35 hrs
    D. Cannot be determined

  10. The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is :___________?

    A. 20
    B. 30
    C. 40
    D. None of these

The correct answer to the question: "If a dice is rolled twice then what is the probability that the sum of the number of dots shown is 8?" is "5/36".

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