An unbiased die is tossed. Find the probability of getting a multiple of 3.
Question
An unbiased die is tossed. Find the probability of getting a multiple of 3.
Solution
A die has six faces, each with a different number from 1 to 6. The multiples of 3 that can be obtained by rolling a die are 3 and 6.
Step 1: Identify the total number of outcomes. When a die is rolled, there are 6 possible outcomes (1, 2, 3, 4, 5, 6).
Step 2: Identify the favorable outcomes. The favorable outcomes are the outcomes where the result is a multiple of 3. In this case, the favorable outcomes are 3 and 6. So, there are 2 favorable outcomes.
Step 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 multiple of 3 when a die is rolled is 2/6 = 1/3.
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