GATE CE 2017 Set 2 — Question 20
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Engineering Mathematics → Probability → Conditional Probability
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Question
A two-faced fair coin has its faces designated as head (H) and tail (T). This coin is tossed three times in succession to record the following outcomes: H, H, H. If the coin is tossed one more time, the probability (up to one decimal place) of obtaining H again, given the previous realizations of H, H and H, would be ________________
Correct answer
0.5 to 0.5
Solution
The outcome of each toss of a fair coin is an independent event. The probability of obtaining a head (H) on any single toss is , regardless of the outcomes of previous tosses. Therefore, given that the first three tosses resulted in H, H, H, the probability of obtaining H on the fourth toss remains .
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