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Discrete Probability - Flipping a coin 5 times in a row.

1 There are two possibilities for each of the five tosses of the coin, so there are $2^5 = 32$ possible outcomes in your sample space, as you found. What is the probability that heads never occurs twice in a row? Your...

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Expected value of the number of flips until the first head

35 Suppose we flip a coin until we see a head. What is the expected value of the number of flips we will take? I am pretty new to expected value, so I tried to evaluate it by multiplying the probability of each scenar...

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Flip a coin 6 times. What is probability of at least 4 heads?

7 I can figure out the much simpler case of the probability of getting at least 2 heads in 3 coin flips: There are 8 (2^3) ways to flip a coin 3 times: HHH, HHT, TTT, TTH, HTH, HTT, THT, THH. 4 of these contain 2 or m...

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Probability of streaks - Mathematics Stack Exchange

Please disregard. Q: If I flip a coin 100 times, what is the probability that I will get at least one streak of at least ten of the same side? Assuming the coin is fair: P (10 consecutive same side) = $0.5^ {10}$ Conv...