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Two cards are drawn randomly from a standard deck of 52 playing cards. you win $20 if these two cards contain any one pair (the cards are the same type-‐-‐ for example, both 3s or both kings-‐-‐ but not the same suit). what is the probability that you will win this $20?

Respuesta :

konrad509

[tex] |\Omega|=C(52,2)=\dfrac{52!}{2!50!}=\dfrac{51\cdot52}{2}=1,326\\
|A|=C(4,2)\cdot13=\dfrac{4!}{2!2!}\cdot13=\dfrac{3\cdot4}{2}\cdot13=78\\\\
P(A)=\dfrac{78}{1,326}=\dfrac{1}{17}\approx6\% [/tex]

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