involving the selection of colored balls from a box. Assume that the box contains 7 balls: 2 red, 4 green, and 1 blue. Two balls are drawn at random, one after the other without replacement. What is the probability that the first ball was blue, given that the second was red?
1. involving the selection of colored balls from a box. Assume that the box contains 7 balls: 2 red, 4 green, and 1 blue. Two balls are drawn at random, one after the other without replacement.
What is the probability that the first ball was blue, given that the second was red?
2. involving university students' math backgrounds. Assume that 50 percent of the students at the university have taken 4 years of high school math. Of those with four years of high school math, 75 percent plan to major in science. Of those without 4 years, only 25 percent plan to major in science. You stop a student at random.
If the student plans to major in science, what is the probability that this student had four years of high school math?
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