The Multiplication Rule for Dependent Events Answers

The probability that a student passes the AP Stats exam is 0.57. The probability that a student passes the AP Calculus exam is 0.43. The probability that a student passes the AP Stats exam given they passed the AP Calculus exam is 0.85. Find the probability that a student passes both exams.

A partially completed tree diagram is shown. Fill in the indicated labels.

1st choice✔ environmental science 0.30

⇒ 0.5150

⇒ 0.1165

⇒ 0.6050

Question text not available

Many of the students at a school play sports: 17% of students play soccer, 23% play football, and 48% of the football players play soccer. What is the probability that a randomly selected student plays both?

There are 36 students on the debate team at a school. There are 6 seniors, 12 juniors, 10 sophomores, and 8 freshmen on the team. The coach is going to select 4 students at random to participate in the next debate. Calculate the probability that all 4 students are sophomores.