A bucket contains 50 golf balls. There are 40 white golf balls and 10 yellow golf balls. One-fifth of each color have the driving range stripe on them. To the nearest percent, what is the probability that a golf ball with a stripe on it is white?
with stripes, there are 8 white and 2 yellow
so, P(white|striped) = 8/10
To find the probability that a golf ball with a stripe on it is white, we need to determine two things: the total number of golf balls with stripes and the number of those that are white.
First, let's calculate the total number of golf balls with stripes. We know that one-fifth of each color has a stripe, so we need to calculate one-fifth of the total number of golf balls for each color separately.
For the white golf balls, one-fifth of 40 is 40/5 = 8.
For the yellow golf balls, one-fifth of 10 is 10/5 = 2.
Now, let's calculate the probability by dividing the number of white golf balls with stripes by the total number of golf balls with stripes.
The total number of golf balls with stripes is 8 (white) + 2 (yellow) = 10.
So the probability that a golf ball with a stripe on it is white is 8/10 = 0.8 or 80% (to the nearest percent).