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10 cards from this deck
XXX is the number of wins in nnn trials with success ppp.
Win or lose in a fixed number of trials.
Probability of success (winning) in each trial.
Number of trials performed in the game.
Mean is npnpnp, where nnn is trials and ppp is probability.
Variance is np(1−p)np(1-p)np(1−p).
P(X=x)=C(n,x)px(1−p)n−xP(X = x) = C(n, x) p^x (1-p)^{n-x}P(X=x)=C(n,x)px(1−p)n−x.
C(n,x)C(n, x)C(n,x) is the binomial coefficient, n!/(x!(n−x)!)n!/(x!(n-x)!)n!/(x!(n−x)!).
X∼B(8,1/3)X \sim B(8, 1/3)X∼B(8,1/3).
Probability of getting 0 or 1 successes.
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