CA Foundation Exam > CA Foundation Questions > In formula P(B/A), P(A) isa)greater than zero...
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In formula P(B/A), P(A) is
- a)greater than zero
- b)less than zero
- c)equal to zero
- d)greater than equal to zero
Correct answer is option 'A'. Can you explain this answer?
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In formula P(B/A), P(A) isa)greater than zerob)less than zeroc)equal t...
Answer:
To understand why the correct answer is option 'A', let's break down the components of the formula P(B/A).
P(B/A) represents the conditional probability of event B occurring given that event A has already occurred. In other words, it measures the likelihood of event B happening under the condition that event A is true.
Now, let's consider the possibilities for the value of P(A):
a) Greater than zero: This means that event A has a positive probability of occurring. In this case, P(B/A) can be calculated because we have a non-zero probability for both events A and B.
b) Less than zero: This is not a valid probability value. Probabilities should always be non-negative. Therefore, this option is incorrect.
c) Equal to zero: If P(A) is equal to zero, it means that event A has a probability of zero. In this case, event A can never occur, and therefore, P(B/A) cannot be calculated because the condition for the occurrence of event A is impossible.
d) Greater than or equal to zero: This option is incorrect because it includes the possibility of P(A) being equal to zero, which we have already determined is not valid.
Therefore, the correct answer is option 'A' - P(A) is greater than zero. For P(B/A) to be calculable, event A must have a positive probability of occurring.
To understand why the correct answer is option 'A', let's break down the components of the formula P(B/A).
P(B/A) represents the conditional probability of event B occurring given that event A has already occurred. In other words, it measures the likelihood of event B happening under the condition that event A is true.
Now, let's consider the possibilities for the value of P(A):
a) Greater than zero: This means that event A has a positive probability of occurring. In this case, P(B/A) can be calculated because we have a non-zero probability for both events A and B.
b) Less than zero: This is not a valid probability value. Probabilities should always be non-negative. Therefore, this option is incorrect.
c) Equal to zero: If P(A) is equal to zero, it means that event A has a probability of zero. In this case, event A can never occur, and therefore, P(B/A) cannot be calculated because the condition for the occurrence of event A is impossible.
d) Greater than or equal to zero: This option is incorrect because it includes the possibility of P(A) being equal to zero, which we have already determined is not valid.
Therefore, the correct answer is option 'A' - P(A) is greater than zero. For P(B/A) to be calculable, event A must have a positive probability of occurring.
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In formula P(B/A), P(A) isa)greater than zerob)less than zeroc)equal to zerod)greater than equal to zeroCorrect answer is option 'A'. Can you explain this answer?
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