CA Foundation Exam > CA Foundation Questions > If for two events A and B, P(AUB) = 1, then A...
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If for two events A and B, P(AUB) = 1, then A and B are
- a)Mutually exclusive events
- b)Equally likely events
- c)Exhaustive events
- d)Dependent events
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
If for two events A and B, P(AUB) = 1, then A and B area)Mutually excl...
Events A and B are independent if the equation P(A∩B) = P(A) P(B) holds true. You can use the equation to check if events are independent; multiply the probabilities of the two events together to see if they equal the probability of them both happening together.
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Most Upvoted Answer
If for two events A and B, P(AUB) = 1, then A and B area)Mutually excl...
Explanation:
When P(AUB) = 1, it means that either A or B or both events will definitely occur. In other words, the sample space is completely covered by A and B. This implies that A and B are exhaustive events.
Definition of Exhaustive Events:
Exhaustive events are those events which together cover the entire sample space. In other words, the sum of probabilities of all exhaustive events is equal to 1.
Examples of Exhaustive Events:
1. Tossing a coin - Head and Tail are exhaustive events.
2. Rolling a dice - Getting any one of the six faces is an exhaustive event.
Therefore, option C is the correct answer.
When P(AUB) = 1, it means that either A or B or both events will definitely occur. In other words, the sample space is completely covered by A and B. This implies that A and B are exhaustive events.
Definition of Exhaustive Events:
Exhaustive events are those events which together cover the entire sample space. In other words, the sum of probabilities of all exhaustive events is equal to 1.
Examples of Exhaustive Events:
1. Tossing a coin - Head and Tail are exhaustive events.
2. Rolling a dice - Getting any one of the six faces is an exhaustive event.
Therefore, option C is the correct answer.
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If for two events A and B, P(AUB) = 1, then A and B area)Mutually exclusive eventsb)Equally likely eventsc)Exhaustive eventsd)Dependent eventsCorrect answer is option 'D'. Can you explain this answer?
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