f a household has at least one cat, there is a 30% probability that the household has at least one dog. Thirty percent of households have at least one cat and 33% of households have at least one dog. Given that a household has at least one dog, the probability that the same household has at least one cat i

About 45% of students participate in a community volunteer program outside of school. If 50 students are selected at random, find the probability that at most 25 of them participate in a community volunteer program outside of school.

A group of people were asked if they had run a red light in the last year. 470 responded "yes", and 283 responded "no".Find the probability that if a person is chosen at random, they have run a red light in the last year.

. Assume that 75 percent of the students at the university have taken 4 years of high school math. Of those with four years of high school math, 80 percent plan to major in science. Of those without 4 years, only 10 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?