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
=2/3
View all questions of this test
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 make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.