A couple of dice is rolled together. What is the probability of getting the same number on both dice? 1/6 1/36 1/3 1
Question
A couple of dice is rolled together. What is the probability of getting the same number on both dice?
- 1/6
- 1/36
- 1/3
- 1
Solution
The probability of rolling the same number on two dice can be calculated as follows:
Step 1: Determine the total number of outcomes. When two dice are rolled, there are 6 possible outcomes for the first die and 6 possible outcomes for the second die. Therefore, the total number of outcomes is 6*6 = 36.
Step 2: Determine the number of successful outcomes. The successful outcomes are when the numbers on both dice are the same. This can happen in 6 ways (1-1, 2-2, 3-3, 4-4, 5-5, 6-6).
Step 3: Calculate the probability. The probability of an event is the number of successful outcomes divided by the total number of outcomes. Therefore, the probability of rolling the same number on both dice is 6/36 = 1/6.
So, the correct answer is 1/6.
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