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If an unbiased coin is tossed once, then the two events Head and Tail are
- a)Mutually exclusive
- b)Exhaustive
- c)Equally likely
- d)All these (a), (b) and (c)
Correct answer is option 'D'. Can you explain this answer?
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If an unbiased coin is tossed once, then the two events Head and Tail ...
Unbiased coin toss events
The events Head and Tail are the possible outcomes of a coin toss. Let's analyze each option:
Mutually exclusive:
- The events Head and Tail are mutually exclusive because they cannot happen at the same time.
- If the coin lands on Head, it cannot land on Tail at the same time, and vice versa.
- Therefore, the events are mutually exclusive.
Exhaustive:
- The events Head and Tail are exhaustive because one of them must happen.
- There are no other possible outcomes of a coin toss.
- Therefore, the events are exhaustive.
Equally likely:
- An unbiased coin is one where the probability of getting Head or Tail is the same, i.e., 0.5 or 50%.
- Both outcomes have the same chance of happening, and the result of the previous toss does not affect the next one.
- Therefore, the events are equally likely.
All these (a), (b), and (c):
- The events Head and Tail are mutually exclusive, exhaustive, and equally likely.
- They are mutually exclusive because they cannot happen at the same time, exhaustive because one of them must happen, and equally likely because an unbiased coin has a 50-50 chance of landing on either side.
- Therefore, the correct answer is (d), All these (a), (b), and (c).
The events Head and Tail are the possible outcomes of a coin toss. Let's analyze each option:
Mutually exclusive:
- The events Head and Tail are mutually exclusive because they cannot happen at the same time.
- If the coin lands on Head, it cannot land on Tail at the same time, and vice versa.
- Therefore, the events are mutually exclusive.
Exhaustive:
- The events Head and Tail are exhaustive because one of them must happen.
- There are no other possible outcomes of a coin toss.
- Therefore, the events are exhaustive.
Equally likely:
- An unbiased coin is one where the probability of getting Head or Tail is the same, i.e., 0.5 or 50%.
- Both outcomes have the same chance of happening, and the result of the previous toss does not affect the next one.
- Therefore, the events are equally likely.
All these (a), (b), and (c):
- The events Head and Tail are mutually exclusive, exhaustive, and equally likely.
- They are mutually exclusive because they cannot happen at the same time, exhaustive because one of them must happen, and equally likely because an unbiased coin has a 50-50 chance of landing on either side.
- Therefore, the correct answer is (d), All these (a), (b), and (c).
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Community Answer
If an unbiased coin is tossed once, then the two events Head and Tail ...
Both head and tail exposes equal part in an outcome.
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If an unbiased coin is tossed once, then the two events Head and Tail area)Mutually exclusiveb)Exhaustivec)Equally likelyd)All these (a), (b) and (c)Correct answer is option 'D'. Can you explain this answer?
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If an unbiased coin is tossed once, then the two events Head and Tail area)Mutually exclusiveb)Exhaustivec)Equally likelyd)All these (a), (b) and (c)Correct answer is option 'D'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If an unbiased coin is tossed once, then the two events Head and Tail area)Mutually exclusiveb)Exhaustivec)Equally likelyd)All these (a), (b) and (c)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If an unbiased coin is tossed once, then the two events Head and Tail area)Mutually exclusiveb)Exhaustivec)Equally likelyd)All these (a), (b) and (c)Correct answer is option 'D'. Can you explain this answer?.
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