What is the probability of drawing a 3 or a 4 or a heart from a deck of cards?

Question

03-06-2018
Mathematics

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What is the probability of drawing a 3 or a 4 or a heart from a deck of cards?

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gmany gmany · Answer 1 · 2018-06-03T13:06:15+02:00

[tex]\Omega=\{2\spadesuit;\ 3\spadesuit;...;A\spadesuit;2\heartsuit ;\ 3\heartsuit;...;A\heartsuit;\ 2\diamondsuit;\ 3\diamondsuit;...;A\diamondsuit;\ 2\clubsuit;\ 3\clubsuit;...;A\clubsuit\}\\\\|\Omega|=52\\\\A=\{3\spadesuit;\ 4\spadesuit;\ 3\diamondsuit;\ 4\diamondsuit;\ 3\clubsuit;\ 4\clubsuit;\ 2\heartsuit;\ 3\heartsuit;\ 4\heartsuit;...;A\heartsuit\}\\\\|A|=2+2+2+13=19\\\\P(A)=\dfrac{|A|}{|\Omega|}\to P(A)=\dfrac{19}{52}[/tex]

[tex]Answer:\ \dfrac{19}{52}[/tex]