Sara has a box of candies. In the box there are 8 pink candies, 7 purple candies and 5 blue candies.

Discussion in 'Calculator Requests' started by math_celebrity, May 29, 2019.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Sara has a box of candies. In the box there are 8 pink candies, 7 purple candies and 5 blue candies. She takes one candy and records its color. She then puts it back in the box and draws another candy. What is the probability of taking out a pink candy followed by a blue candy?

    Calculate the total number of candies:
    Total candies = Pink + Purple + Blue
    Total candies = 8 + 7 + 5
    Total candies = 20

    Calculate the probability of drawing one pink candy:
    P(Pink) = 8/20
    Using our fraction reduction calculator, we get:
    P(Pink) = 2/5

    Calculate the probability of drawing one blue candy:
    P(Blue) = 5/20 <-- 20 options since Sara replaced her first draw
    Using our fraction reduction calculator, we get:
    P(Blue) = 1/4

    The problem asks for the probability of a Pink followed by a Blue. Since each event is independent, we multiply:
    P(Pink, Blue) = P(Pink) * P(Blue)
    P(Pink, Blue) = 2/5 * 1/4
    P(Pink, Blue) = 2/20
    Using our fraction reduction calculator, we get:
    P(Pink, Blue) = 1/10 or 10%
     

Share This Page