Recent content by ThatPinkSock

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    Graduate Does φ(N) Form a Normal Subgroup in G' When φ is a Homomorphism?

    From Herstein's Abstract Algebra. Section 2.7 #7 If φ is a homomorphism of G onto G' and N ◅ G, show that φ(N) ◅ G. Attempt: I want to prove that if k ∈ G' then kφ(N)k-1 = φ(N), but k = φ(n) for some n... then idk what.
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    What does it mean first 2 flips are heads

    I'm not 100% clear on what your question is. If the question is asking what are the chances that you will have two instances of heads in your first two flips out of 6 flips you simply need to do: \frac{1}{2} * \frac{1}{2} (50% chance of heads...