Find the probability of getting a number greater than 5 when a fair dice is thrown. Ops: A. 1/3 B. 2/3 C. 1/2 D. 1/6
Question
Find the probability of getting a number greater than 5 when a fair dice is thrown.
Ops:
A. 1/3
B. 2/3
C. 1/2
D. 1/6
Solution
A fair dice has 6 faces, numbered from 1 to 6. The numbers greater than 5 are 6. So, there is only 1 favorable outcome.
Step 1: Identify the total number of outcomes. When a dice is thrown, there are 6 possible outcomes (1, 2, 3, 4, 5, 6).
Step 2: Identify the number of favorable outcomes. In this case, the favorable outcome is getting a number greater than 5. There is only one number greater than 5 on a dice, which is 6. So, there is only 1 favorable outcome.
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 number greater than 5 when a fair dice is thrown is 1/6.
Therefore, the answer is D. 1/6.
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