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Question Number 98027 by bemath last updated on 11/Jun/20

$$\mathrm{One}\mathrm{card}\mathrm{is}\mathrm{randomly}\mathrm{selected}$$$$\mathrm{from}\mathrm{a}\mathrm{pack}\mathrm{of}52\mathrm{playing}\mathrm{cards}.$$$$\mathrm{Determine}\mathrm{the}\mathrm{probability}\mathrm{that}$$$$\mathrm{is}\mathrm{a}\mathrm{picture}\mathrm{card}.$$

Commented by bobhans last updated on 11/Jun/20

$$\mathrm{Let}{\mathrm{P}}_{\mathrm{i}}\mathrm{be}\mathrm{the}\mathrm{event}\mathrm{of}\mathrm{getting}\mathrm{a}{}^{\prime }\mathrm{picture}{\mathrm{card}}^{\prime }$$$$\mathrm{There}\mathrm{are}3\mathrm{picture}\mathrm{cards}\mathrm{in}\mathrm{each}\mathrm{suit},$$$$\mathrm{so}\mathrm{n}\left({\mathrm{P}}_{\mathrm{i}}\right)=12\therefore \mathrm{P}\left({\mathrm{P}}_{\mathrm{i}}\right)=\frac{12}{52}=\frac{3}{13}$$

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