Lesson Probability of Rolling at Least 10

Problem: With a pair of fair dice, what is the probability that a single roll will have a total of at least 10?
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Solution: Probability always is based on the number of favorable outcomes divided by the total possible outcomes. With 2 dice there are 36 possible outcomes for any roll: 6*6 =36. The following table shows the possible sums:
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	Die 1
Die 2
		1	2	3	4	5	6
	1	2	3	4	5	6	7
	2	3	4	5	6	7	8
	3	4	5	6	7	8	9
	4	5	6	7	8	9	10
	5	6	7	8	9	10	11
	6	7	8	9	10	11	12

The question is what is the probability the sum is at least 10. Inspecting this table, you can see that:
1 of these 36 outcomes = 12
2 of these 36 outcomes = 11
3 of these 36 outcomes = 10
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Answer: The probability that the sum will be 10 or more is:
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P(10 or more) = 6/36 = 1/6
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This result may be expressed as about 16.67%.