Question 350677

>Why isn't spinning a roulette wheel 4 times, keeping track of the winning
>numbers a binomial of distribution?
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Binomial distributions only work when two choices are available, heads or tails on a coin, True or False on a test. A roulette wheel has multiple numbers (more than 2), 3 colors (red, black, and green) so could not be modeled as a binomial distribution.
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> You are dealt two cards successively (w/o replacement) from a shuffled deck
> of 52 playing cards. Find the probability that both cards are black.
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{{{P(B)=26/52=1/2}}}
Once a black card is dealt, the total number of black cards and total cards reduces by 1. Then
{{{P(B)=25/51}}}
So then to get the probability of drawing two black cards in a row, multiply the individual probabilities together.
{{{P(2B)=(1/2)(25/51)=25/102}}}