The probability that you sleep on your left side at night is 0.33. The probability that you snore so loudly that you can wake your neighbor's cat up is 0.25. The probability that you sleep on your left side and that your snoring causes your neighbor's cat to wake up is 0.1. Are these events independent? Why or why not?

On the first day of music class, students submitted a survey. One survey question asked students to report which music genre they prefer. Another question asked students how frequently they sing in the shower. The probability that a student prefers metal is 0.7, the probability that a student sings in the shower 1-2 times a week is 0.4 and the probability that a student prefers metal and sings in the shower 1-2 times a week is 0.3. What is the probability that a randomly chosen student prefers metal or sings in the shower 1-2 times a week?

A biased coin has a probability of of landing on heads. You toss the coin until it lands on heads. What is the probability that you toss the coin exactly four times?

Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx