Assume that 30 percent of students have taken calculus in high school. Of those who have taken calculus in high school, 65 percent plan to major in science. Of those who did not take calculus in high school, only 25 percent plan to major in science.
What is the probability that a randomly selected student plans to major in science?

Question

Assume that 30 percent of students have taken calculus in high school. Of those who have taken calculus in high school, 65 percent plan to major in science. Of those who did not take calculus in high school, only 25 percent plan to major in science.
What is the probability that a randomly selected student plans to major in science?

anonymous · Answer

$$.3\times .65+.7\times .25$$

anonymous · Answer

reasoning should be clear from the numbers