If $I$ toss a coin $3$ times and get a head each time,should $I$ expect a tail to have a higher chance in the $4^{th}$ toss? Give a reason in support of your answer.

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(N/A) No,the outcome of each coin toss is an independent event. When we toss a fair coin,the probability of getting a head or a tail is equally likely,i.e.,$P(\text{Head}) = \frac{1}{2}$ and $P(\text{Tail}) = \frac{1}{2}$. Since the coin has no memory of previous outcomes,the probability of getting a tail in the $4^{th}$ toss remains $\frac{1}{2}$,which is the same as any other toss. Therefore,there is no reason to expect a higher chance for a tail.

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