Suppose an unbiased coin is tossed 6 times. Each coin toss is independent of…

GATE · 2026 · CS · Set 2 · Computer Science & IT

Suppose an unbiased coin is tossed 6 times. Each coin toss is independent of all previous coin tosses. Let 𝐸1 be the event that among the second, fourth, and sixth coin tosses, there are at least two heads. Let 𝐸2 be the event that among the first, second, third, and fifth coin tosses, there are equal number of heads and tails. The conditional probability P(𝐸1 | 𝐸2) is equal to ____________. (rounded off to one decimal place)

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