A die is rolled two times. Find the probability that the sum of the number is 7.
Question
A die is rolled two times. Find the probability that the sum of the number is 7.
Solution
To solve this problem, we need to find the total number of outcomes when a die is rolled twice and the number of outcomes that result in a sum of 7.
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Total number of outcomes: A die has 6 faces. So, when a die is rolled twice, the total number of outcomes is 6*6 = 36.
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Outcomes that result in a sum of 7: The pairs that sum up to 7 are (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1). So, there are 6 outcomes that result in a sum of 7.
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Probability: The probability of an event is the number of favorable outcomes divided by the total number of outcomes. So, the probability that the sum of the numbers is 7 is 6/36 = 1/6.
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