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ind the probability of getting a sum of 6 on two throws of a dice.

Question

ind the probability of getting a sum of 6 on two throws of a dice.

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Solution

To find the probability of getting a sum of 6 on two throws of a dice, follow these steps:

  1. Identify all possible outcomes: When you throw a dice, there are 6 possible outcomes (1, 2, 3, 4, 5, 6). Since you are throwing the dice twice, the total number of outcomes is 6*6 = 36.

  2. Identify favorable outcomes: The combinations that give a sum of 6 are (1,5), (2,4), (3,3), (4,2), and (5,1). So, there are 5 favorable outcomes.

  3. Calculate the probability: The probability of an event is given by the ratio of the number of favorable outcomes to the total number of outcomes. So, the probability of getting a sum of 6 is 5/36.

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