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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 ...
Explanation:
When an unbiased coin is tossed once, there are only two possible outcomes - Head or Tail. Let's see why all the options (a), (b) and (c) are correct.
Mutually exclusive:
Mutually exclusive events are events that cannot occur at the same time. In this case, if the coin lands on Head, it cannot land on Tail at the same time, and vice versa. Hence, the events Head and Tail are mutually exclusive.
Exhaustive:
Exhaustive events are events that cover all possible outcomes. In this case, the two events Head and Tail cover all possible outcomes of a coin toss. Hence, the events Head and Tail are exhaustive.
Equally likely:
Equally likely events are events that have the same probability of occurring. In this case, since the coin is unbiased, the probability of getting Head and Tail is the same. Hence, the events Head and Tail are equally likely.
Therefore, all the options (a), (b) and (c) are correct and the correct answer is option 'D'.
When an unbiased coin is tossed once, there are only two possible outcomes - Head or Tail. Let's see why all the options (a), (b) and (c) are correct.
Mutually exclusive:
Mutually exclusive events are events that cannot occur at the same time. In this case, if the coin lands on Head, it cannot land on Tail at the same time, and vice versa. Hence, the events Head and Tail are mutually exclusive.
Exhaustive:
Exhaustive events are events that cover all possible outcomes. In this case, the two events Head and Tail cover all possible outcomes of a coin toss. Hence, the events Head and Tail are exhaustive.
Equally likely:
Equally likely events are events that have the same probability of occurring. In this case, since the coin is unbiased, the probability of getting Head and Tail is the same. Hence, the events Head and Tail are equally likely.
Therefore, all the options (a), (b) and (c) are correct and the correct answer is option 'D'.
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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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