Recent content by Biotic

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    Probability of at least 5 consecutive heads in 10 coin flips

    Ok, so i did it manually counting separatelly for 5,6,7,8,9 and 10 consecutive heads. For example, when 5 heads start from flip no. 1, 6th flip can only be tails and the rest can be anything - which is 24 possibilities, the same when heads are at the end. But when they are in the middle, the...
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    Probability of at least 5 consecutive heads in 10 coin flips

    Homework Statement Everything is in the title, basically. We flip a coin 10 times. What is the probability of at least 5 consecutive heads? Homework Equations The Attempt at a Solution I thought it was like this: Those 5 heads can start at spots 1-6 in 10 flips, so there are...
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    Probability of at least 5 consecutive heads in 10 coin flips

    Everything is in the title, basically. We flip a coin 10 times. What is the probability of at least 5 consecutive heads? I thought it was like this: Those 5 heads can start at spots 1-6 in 10 flips, so there are 6 possibilities. The rest of times, we can get anything, so there are 2^5...
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    Spherical capacitor (Irodov 3.101.)

    Thank you for the reply. I know how to solve integrals. What I don't know is... Why are there two integrals in the official solution for potential difference? One from R1 to R2 and the other from R2 to infinity. If you don't have it, the soultions for irodov are available online so if you could...
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    Spherical capacitor (Irodov 3.101.)

    Homework Statement Find the capacitance of an isolated ball-shaped conductor of radius R1 sorrounded by an adjacent concentric layer of dielectric with permitivity ε and outside radius R2. Homework Equations The Attempt at a Solution The official solution says something like...
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