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The probability of occurrence of a number greater than 2 in a throw of a die if it is known that only even number can occur is?
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The probability of occurrence of a number greater than 2 in a throw of...
Understanding the Problem
When rolling a standard six-sided die, the possible outcomes are {1, 2, 3, 4, 5, 6}. Given that only even numbers can occur, we need to focus on the even numbers available on the die.
Even Numbers on a Die
The even numbers from the set of outcomes are:
Thus, the set of possible outcomes, when restricted to even numbers, is {2, 4, 6}.
Identifying Favorable Outcomes
Next, we need to identify the outcomes that are greater than 2 from the even numbers:
The favorable outcomes, therefore, are {4, 6}.
Calculating Probability
To find the probability of rolling a number greater than 2 given that we can only roll an even number, we use the formula for probability:
In our case:
Thus, the probability is:
Conclusion
The probability of rolling a number greater than 2, given that only even numbers can occur, is:
When rolling a standard six-sided die, the possible outcomes are {1, 2, 3, 4, 5, 6}. Given that only even numbers can occur, we need to focus on the even numbers available on the die.
Even Numbers on a Die
The even numbers from the set of outcomes are:
- 2
- 4
- 6
Thus, the set of possible outcomes, when restricted to even numbers, is {2, 4, 6}.
Identifying Favorable Outcomes
Next, we need to identify the outcomes that are greater than 2 from the even numbers:
- 4
- 6
The favorable outcomes, therefore, are {4, 6}.
Calculating Probability
To find the probability of rolling a number greater than 2 given that we can only roll an even number, we use the formula for probability:
- Probability = (Number of Favorable Outcomes) / (Total Number of Possible Outcomes)
In our case:
- Number of Favorable Outcomes = 2 (which are 4 and 6)
- Total Number of Possible Outcomes = 3 (which are 2, 4, and 6)
Thus, the probability is:
- Probability = 2 / 3
Conclusion
The probability of rolling a number greater than 2, given that only even numbers can occur, is:
- 2/3
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The probability of occurrence of a number greater than 2 in a throw of a die if it is known that only even number can occur is?
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The probability of occurrence of a number greater than 2 in a throw of a die if it is known that only even number can occur is? 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 The probability of occurrence of a number greater than 2 in a throw of a die if it is known that only even number can occur is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The probability of occurrence of a number greater than 2 in a throw of a die if it is known that only even number can occur is?.
The probability of occurrence of a number greater than 2 in a throw of a die if it is known that only even number can occur is? 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 The probability of occurrence of a number greater than 2 in a throw of a die if it is known that only even number can occur is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The probability of occurrence of a number greater than 2 in a throw of a die if it is known that only even number can occur is?.
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