A box is filled with 10 green cards, 4 blue cards, and 4 brown cards. A card is chosen at random fr | MathCelebrity Forum

A box is filled with 10 green cards, 4 blue cards, and 4 brown cards. A card is chosen at random fr

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A box is filled with 10 green cards, 4 blue cards, and 4 brown cards. A card is chosen at random from the box. What is the probability that it is a green or a brown card?

Calculate Total Cards:
10 green cards + 4 blue cards + 4 brown cards = 18 cards

"Or", means either or, so we want P(Green) + P(Brown)

Find P(Green)
P(Green) = Green Cards / Total Cards
P(Green) = 10/18 <-- Simplify by dividing top and bottom by 2
P(Green)= 5/9 <-- Simplify by dividing top and bottom by 2

Find P(Brown)
P(Brown) = Brown Cards / Total Cards
P(Brown) = 4/18 <-- Simplify by dividing top and bottom by 2
P(Brown)= 2/9 <-- Simplify by dividing top and bottom by 2

P(Green) + P(Brown) = 5/9 + 2/9
P(Green) + P(Brown) = 7/9
 
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