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The probability of getting sum more than 7 when a pair of dice are thrown is:736512712None of these

Question

The probability of getting sum more than 7 when a pair of dice are thrown is:

  • 736
  • 512
  • 712
  • None of these
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Solution

To solve this problem, we need to understand the total possible outcomes when two dice are thrown and the outcomes that result in a sum greater than 7.

Step 1: Total possible outcomes When a die is thrown, it can land in 6 different ways (1, 2, 3, 4, 5, 6). So, when two dice are thrown, the total number of possible outcomes is 6*6 = 36.

Step 2: Outcomes where the sum is more than 7 We need to find the combinations of two dice that result in a sum greater than 7. They are as follows: (2,6), (3,5), (3,6), (4,4), (4,5), (4,6), (5,3), (5,4), (5,5), (5,6), (6,2), (6,3), (6,4), (6,5), (6,6) There are 15 such combinations.

Step 3: Probability The probability of an event is the number of favorable outcomes divided by the total number of outcomes. So, the probability of getting a sum more than 7 when a pair of dice are thrown is 15/36 = 0.4167.

So, the answer is None of these.

This problem has been solved

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1/3

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