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The Probability of the occurrence of a no. greater then 2 in a throw of a die if it is known that only even nos. can occur is
- a)1/3
- b)1/2
- c)2/3
- d)none
Correct answer is option 'C'. Can you explain this answer?
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The Probability of the occurrence of a no. greater then 2 in a throw o...
Total events are 6
Possibility of Greater than 2 is 4 i.e. 3, 4, 5, 6
Hence, Probability of the occurrence of a no. greater then 2 will be 4/6
Possibility of Greater than 2 is 4 i.e. 3, 4, 5, 6
Hence, Probability of the occurrence of a no. greater then 2 will be 4/6
=2/3
Most Upvoted Answer
The Probability of the occurrence of a no. greater then 2 in a throw o...
**Probability of Occurrence of a Number Greater than 2 when Only Even Numbers can Occur**
To find the probability of the occurrence of a number greater than 2 in a throw of a die, given that only even numbers can occur, we need to consider the sample space and the favorable outcomes.
**Sample Space:**
The sample space for a throw of a die when only even numbers can occur is {2, 4, 6}. This is because the die only has even numbers on its faces.
**Favorable Outcomes:**
The favorable outcomes are the numbers greater than 2 in the sample space, which are {4, 6}.
**Calculating the Probability:**
To find the probability, we divide the number of favorable outcomes by the total number of possible outcomes.
Number of favorable outcomes = 2 (4, 6)
Total number of possible outcomes = 3 (2, 4, 6)
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 2 / 3
Therefore, the probability of the occurrence of a number greater than 2 in a throw of a die, given that only even numbers can occur, is 2/3.
**Explanation:**
Since the die only has even numbers on its faces, the only possible outcomes are 2, 4, and 6. Out of these, the favorable outcomes are the numbers greater than 2, which are 4 and 6. Therefore, the probability of rolling a number greater than 2 is 2/3.
It's important to note that the probability is calculated based on the assumption that each face of the die is equally likely to occur. If the die is biased or unevenly weighted, the probability calculation may be different.
To find the probability of the occurrence of a number greater than 2 in a throw of a die, given that only even numbers can occur, we need to consider the sample space and the favorable outcomes.
**Sample Space:**
The sample space for a throw of a die when only even numbers can occur is {2, 4, 6}. This is because the die only has even numbers on its faces.
**Favorable Outcomes:**
The favorable outcomes are the numbers greater than 2 in the sample space, which are {4, 6}.
**Calculating the Probability:**
To find the probability, we divide the number of favorable outcomes by the total number of possible outcomes.
Number of favorable outcomes = 2 (4, 6)
Total number of possible outcomes = 3 (2, 4, 6)
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 2 / 3
Therefore, the probability of the occurrence of a number greater than 2 in a throw of a die, given that only even numbers can occur, is 2/3.
**Explanation:**
Since the die only has even numbers on its faces, the only possible outcomes are 2, 4, and 6. Out of these, the favorable outcomes are the numbers greater than 2, which are 4 and 6. Therefore, the probability of rolling a number greater than 2 is 2/3.
It's important to note that the probability is calculated based on the assumption that each face of the die is equally likely to occur. If the die is biased or unevenly weighted, the probability calculation may be different.
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