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GATE 2017 CE (CE2) – Question 30

Engineering Mathematics · Probability and Statistics: Probability, conditional probability, descriptive statistics · 1 mark · Numerical answer

A fair coin is tossed three times and gives heads each time. The probability that the next toss gives heads, to one decimal place, is ______.

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Correct answer: 0.5 to 0.5

Explanation

Independent tosses retain the same probability regardless of previous results. Hence $P(H\mid HHH)=1/2=0.5$. The probability of the entire four-head sequence is a different quantity.