From an ordinary deck of 52 cards, cards are drawn at random and with replacement.

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?

• with replacement. So it's hypothetically possible to draw the same card eight times? – fleablood Nov 20 '15 at 16:57
• Success: a spade. Probability of success: $1/4$. Independent trials: $8$. Probability of exactly $4$ successes, familiar? – André Nicolas Nov 20 '15 at 17:00
• 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 $k=0,...,n$ – Peter Nov 20 '15 at 19:49