The probability that a school-grade student would drink water, fruit juice, and soda is 0.5, 0.3, and 0.2 respectively. What is the probability that among 15 students randomly selected, 6 would drink water, 6 would drink fruit juice and 3 would drink soda.

The probability that a high school student get less than 5 hours of sleep on average is 35.2%. The probability that a randomly chosen high school student gets less than 5 hours of sleep on average AND is in the school's band is 19.5%. What is the probability that a high school student is in band given that they get less than 5 hours of sleep on average?

In a classroom of 27 students, there are 17 girls and 10 males. Mr. Stover wants to randomly select a student but states that the probability of selecting a female student is a lot larger than selecting a male student. Is this assumption correct? Explain your answer.

Ninety percent of the graduates of State University who apply to a particular medical school are admitted. This year six graduates from State University have applied for admission to the medical school. Find the probability that only four of them will be accepted.