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Two dice are thrown, find and number of outcomes.

  • a)
    36

  • b)
    6

  • c)
    12

  • d)
    None of these

Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Two dice are thrown, find and number of outcomes.a)36b)6c)12d)None of ...
We know that in a single thrown of two die, the total number of possible outcomes is (6 × 6) = 36. Let S be the sample space. Then, n(S) = 36

 


When two dice are thrown, each die has 6 faces, numbered from 1 to 6. To find the total number of outcomes when both dice are thrown, you can use the multiplication principle.



  1. Outcomes for the first die: There are 6 possible outcomes (1, 2, 3, 4, 5, 6).

  2. Outcomes for the second die: Similarly, there are also 6 possible outcomes.



To find the total number of outcomes when both dice are thrown, multiply the number of outcomes for the first die by the number of outcomes for the second die:


Total Outcomes=Outcomes for the first die×Outcomes for the second die=6×6=36\text{Total Outcomes} = \text{Outcomes for the first die} \times \text{Outcomes for the second die} = 6 \times 6 = 36Total Outcomes=Outcomes for the first die×Outcomes for the second die=6×6=36


Conclusion


So, when two dice are thrown, there are a total of 36 possible outcomes. Each outcome can be represented as an ordered pair (x, y), where x is the result from the first die and y is the result from the second die. For example, (1, 1), (1, 2), ..., (6, 6).
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Most Upvoted Answer
Two dice are thrown, find and number of outcomes.a)36b)6c)12d)None of ...
Solution:
When two dice are thrown simultaneously, there are a total of 36 possible outcomes.

Explanation:
To calculate the number of possible outcomes when two dice are thrown, we can use the multiplication principle.

Multiplication Principle: If there are m ways to do one thing, and n ways to do another, then there are m x n ways to do both.

In this case, each die has 6 possible outcomes (since there are 6 sides on each die). Therefore, using the multiplication principle, we can calculate the total number of outcomes as:

Total number of outcomes = 6 x 6 = 36

Therefore, there are a total of 36 possible outcomes when two dice are thrown simultaneously.

Conclusion:
The correct answer is option 'A', that is, 36.
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Community Answer
Two dice are thrown, find and number of outcomes.a)36b)6c)12d)None of ...
If two dice are rolled together, what is the probability of getting the sum equal to 7? dice are independent events, so we can just multiply the number of possibilities of the first die with the number of possibilities of the second die =each die has 6 faces, so 6×6=36 total possibilities.
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