From an ordinary deck of 52 cards, cards are drawn at random and with replacement. What is the probability that, of the first eight cards drawn, four are spades?

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    $\begingroup$ with replacement. So it's hypothetically possible to draw the same card eight times? $\endgroup$ – fleablood Nov 20 '15 at 16:57
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    $\begingroup$ Success: a spade. Probability of success: $1/4$. Independent trials: $8$. Probability of exactly $4$ successes, familiar? $\endgroup$ – André Nicolas Nov 20 '15 at 17:00
  • $\begingroup$ You need the binomial distribution : If $X$~$B(n,p)$, we have $B(X=k)=\binom{n}{k}p^k(1-p)^{n-k}$ for $k=0,...,n$ $\endgroup$ – Peter Nov 20 '15 at 19:49

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