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

Discussion in 'Calculator Requests' started by math_celebrity, Aug 14, 2018.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    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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