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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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