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D die is rolled twice, what is the probability that the sum of the numbers on the two faces is 5?
  • a)
    1/9   
  • b)
    1/6 
  • c)
    1/3 
  • d)
    1/4
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
D die is rolled twice, what is the probability that the sum of the num...
No.Total of possible outcome of outcomes
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Most Upvoted Answer
D die is rolled twice, what is the probability that the sum of the num...
Sample space = { (1,4) , (4,1) , (2,3) , (3,2) }
Total possibilities = 6*6 = 36
Probability = 4/36 = 1/9
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D die is rolled twice, what is the probability that the sum of the num...
**Solution:**

To find the probability of getting a sum of 5 when rolling a die twice, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.

**Total number of possible outcomes:**

When rolling a die twice, there are 6 possible outcomes for each roll. Since each roll is independent, the total number of possible outcomes is the product of the number of outcomes for each roll, which is 6 * 6 = 36.

**Number of favorable outcomes:**

We need to determine the number of ways to get a sum of 5 when rolling a die twice. Let's consider all the possible combinations:

- (1, 4)
- (2, 3)
- (3, 2)
- (4, 1)

There are 4 possible combinations that result in a sum of 5.

**Calculating the probability:**

The probability of an event is given by the ratio of the number of favorable outcomes to the total number of possible outcomes.

In this case, the probability of getting a sum of 5 is 4/36, which simplifies to 1/9.

Therefore, the correct answer is option A) 1/9.
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D die is rolled twice, what is the probability that the sum of the numbers on the two faces is 5?a)1/9b)1/6c)1/3d)1/4Correct answer is option 'A'. Can you explain this answer?
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