CA Foundation Exam > CA Foundation Questions > If P(A) = P(B), thena)A and B are the same ev...
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If P(A) = P(B), then
- a)A and B are the same events
- b)A and B must be same events
- c)A and B may be different events
- d)A and B are mutually exclusive events
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
If P(A) = P(B), thena)A and B are the same eventsb)A and B must be sam...
Explanation:
When P(A) = P(B), it means that the probability of event A occurring is equal to the probability of event B occurring. However, it does not necessarily mean that A and B are the same events or mutually exclusive events.
Different Events:
A and B may be different events, meaning that they have different outcomes. For example, A could be the event of flipping a coin and getting heads, while B could be the event of rolling a die and getting a six. The probabilities of these events occurring could still be equal, but they are clearly different events.
Mutually Exclusive Events:
A and B can also be mutually exclusive events, meaning that they cannot occur at the same time. For example, A could be the event of rolling a die and getting an odd number, while B could be the event of rolling a die and getting an even number. These events cannot occur at the same time, but they could still have equal probabilities.
Conclusion:
Therefore, when P(A) = P(B), A and B may be different events or mutually exclusive events. It is not necessary for them to be the same events.
When P(A) = P(B), it means that the probability of event A occurring is equal to the probability of event B occurring. However, it does not necessarily mean that A and B are the same events or mutually exclusive events.
Different Events:
A and B may be different events, meaning that they have different outcomes. For example, A could be the event of flipping a coin and getting heads, while B could be the event of rolling a die and getting a six. The probabilities of these events occurring could still be equal, but they are clearly different events.
Mutually Exclusive Events:
A and B can also be mutually exclusive events, meaning that they cannot occur at the same time. For example, A could be the event of rolling a die and getting an odd number, while B could be the event of rolling a die and getting an even number. These events cannot occur at the same time, but they could still have equal probabilities.
Conclusion:
Therefore, when P(A) = P(B), A and B may be different events or mutually exclusive events. It is not necessary for them to be the same events.
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Community Answer
If P(A) = P(B), thena)A and B are the same eventsb)A and B must be sam...
P(a)=p(b) just means the probability of both events is equal.The event maybe different.
probability of choosing heads=1/2
probability of getting 1,2,3 in a dice=3/6=1/2
here probability is same(1/2) for two different events.
probability of choosing heads=1/2
probability of getting 1,2,3 in a dice=3/6=1/2
here probability is same(1/2) for two different events.
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If P(A) = P(B), thena)A and B are the same eventsb)A and B must be same eventsc)A and B may be different eventsd)A and B are mutually exclusive eventsCorrect answer is option 'C'. Can you explain this answer?
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