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What is the probability of having at least one six from 3 throws of a perfect die?
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What is the probability of having at least one six from 3 throws of a ...
Probability of getting at least one six from 3 throws of a die
To calculate the probability of getting at least one six from three throws of a perfect die, we need to consider the following:
Step 1: Find the probability of not getting a six on one throw
Since we are looking for the probability of getting at least one six, we need to find the probability of not getting a six on one throw. This can be calculated as:
Probability of not getting a six = 5/6 (since there are 5 numbers other than six on the die)
Step 2: Find the probability of not getting a six on all three throws
The probability of not getting a six on all three throws can be calculated as:
Probability of not getting a six on all three throws = (5/6) x (5/6) x (5/6) = 125/216
Step 3: Find the probability of getting at least one six
To find the probability of getting at least one six, we need to subtract the probability of not getting a six on all three throws from 1 (since the probability of getting at least one six is the complement of not getting a six on all three throws). This can be calculated as:
Probability of getting at least one six = 1 - (125/216) = 91/216
Conclusion
Therefore, the probability of getting at least one six from three throws of a perfect die is 91/216 or approximately 0.4213.
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What is the probability of having at least one six from 3 throws of a perfect die? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about What is the probability of having at least one six from 3 throws of a perfect die? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the probability of having at least one six from 3 throws of a perfect die?.
What is the probability of having at least one six from 3 throws of a perfect die? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about What is the probability of having at least one six from 3 throws of a perfect die? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the probability of having at least one six from 3 throws of a perfect die?.
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