Question
A pair of dice with faces numbered 1,2,3,4,5 and 6 is rolled once.what is the probability of obtaining at least a sum of 6
Answers
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To find the probability of obtaining at least a sum of 6 when rolling a pair of dice, we need to count the number of favorable outcomes and divide it by the total number of possible outcomes.
Total number of outcomes when rolling two dice: 6 * 6 = 36
To find the favorable outcomes, we can list all the possible outcomes that satisfy the condition:
1 + 5 = 6 (favorable)
2 + 4 = 6 (favorable)
3 + 3 = 6 (favorable)
4 + 2 = 6 (favorable)
5 + 1 = 6 (favorable)
6 + 6 = 12 (not favorable)
There are 5 favorable outcomes and 1 unfavorable outcome.
Therefore, the probability of obtaining at least a sum of 6 is:
P(at least a sum of 6) = favorable outcomes / total outcomes
P(at least a sum of 6) = 5 / 36
So, the probability of obtaining at least a sum of 6 when rolling a pair of dice is 5/36.
Total number of outcomes when rolling two dice: 6 * 6 = 36
To find the favorable outcomes, we can list all the possible outcomes that satisfy the condition:
1 + 5 = 6 (favorable)
2 + 4 = 6 (favorable)
3 + 3 = 6 (favorable)
4 + 2 = 6 (favorable)
5 + 1 = 6 (favorable)
6 + 6 = 12 (not favorable)
There are 5 favorable outcomes and 1 unfavorable outcome.
Therefore, the probability of obtaining at least a sum of 6 is:
P(at least a sum of 6) = favorable outcomes / total outcomes
P(at least a sum of 6) = 5 / 36
So, the probability of obtaining at least a sum of 6 when rolling a pair of dice is 5/36.