Answer:
[tex]P(even )=\frac{20}{52} =\frac{5}{13}[/tex]
[tex]P(heart or diamond)=\frac{13}{52} +\frac{13}{52} =\frac{1}{2}[/tex]
[tex]P(nine or face card)=\frac{4}{52} +\frac{12}{52} =\frac{4}{13}[/tex]
Step-by-step explanation:
You draw one card at random from a standard deck of 52 playing cards
Total cards = 52
5 even numbers in each suit. 4 times 5 = 20 even number cards
[tex]P(even )=\frac{20}{52} =\frac{5}{13}[/tex]
(b) the card is a heart or a diamond
there are 13 heart and 13 diamonds
[tex]P(heart or diamond)=\frac{13}{52} +\frac{13}{52} =\frac{1}{2}[/tex]
(c) the card is a nine or a face card
There are 4 nine and 12 face cards
[tex]P(nine or face card)=\frac{4}{52} +\frac{12}{52} =\frac{4}{13}[/tex]
