Two fair dice are rolled. What is the probability of getting a sum of 7?a)1/36b)1/6c)7/12d)5/12Correct answer is option 'B'. Can you explain this answer?

Question

Answer

Probability of Getting a Sum of 7 when Rolling Two Fair Dice:

To find the probability of getting a sum of 7 when rolling two fair dice, we first need to determine all the possible outcomes when rolling two dice. Each die has 6 sides, so there are a total of 6 x 6 = 36 possible outcomes when rolling two dice.

Calculating the Number of Ways to Get a Sum of 7:

When rolling two dice, there are a total of 6 ways to get a sum of 7:
- (1,6)
- (2,5)
- (3,4)
- (4,3)
- (5,2)
- (6,1)

Calculating the Probability:

To calculate the probability of getting a sum of 7, we divide the number of ways to get a sum of 7 by the total number of possible outcomes:
Probability = Number of ways to get a sum of 7 / Total number of possible outcomes
Probability = 6 / 36
Probability = 1 / 6

Therefore, the correct answer is option B) 1/6. The probability of getting a sum of 7 when rolling two fair dice is 1/6.

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