If I toss a coin 3 times and get head each time, should I expect a tail to have a higher chance in the 4th toss? Give reason in support of your answer.
Step 1: A coin has two possible outcomes when tossed — Head (H) or Tail (T).
Step 2: For a fair coin, the probability of getting a Head is \(\dfrac{1}{2}\), and the probability of getting a Tail is also \(\dfrac{1}{2}\).
Step 3: Each coin toss is an independent event. This means the result of one toss does not affect the result of another toss.
Step 4: Even if you got Head three times in a row, the probability of getting Tail in the next (4th) toss is still \(\dfrac{1}{2}\).
Step 5: Therefore, the chance of getting Tail does not become higher in the 4th toss.
Final Reason: The probability remains the same (\(\dfrac{1}{2}\)) for both Head and Tail, no matter what happened in the earlier tosses.