Algebra 1

While playing a game, Rachel pulls two tiles out of a bag without looking and without replacing the first tile. The bag has two colors of tiles--black and white. There are 10 more white tiles than black tiles.

a. Write and simplify an expression that represents the probability that Rachel will pick a black tile, then a white tile.

A: x(x + 10)/(2x + 10)(2x + 9)

b. What is the probability that Rachel pulls a black tile and then a white tile if there are 5 black tiles in the bag berfore her first pick? Round your answer to the nearest hundredth
im having trouble on figuring out the steps to solve b.

asked by Serena
  1. a) is correct, but you should have brackets around the complete denominator. The way you typed it, it is only divided by (2x+10)
    x(x + 10)/( (2x + 10)(2x + 9) )

    b) So now we have an actual numerical case
    and let's just follow the same argument you did in a)
    blacks = 5
    whites = 15

    prob(black, then white) = (5/20)(15/19)
    = 75/380
    = 15/76

    posted by Reiny
  2. number or blacks = b
    number of whites = b+10
    total - b +b+10 = 2 b+10
    black first
    b/(2b+10)

    now we have b-1 blacks
    we have b+10 whites still
    total = 2b+9

    b/(2b+10) * (b+10)/(2b+9)
    note - not 2b+10 in numerator

    posted by Damon
  3. sorry, read reply wrong. You have it fine

    posted by Damon

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