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 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 singss in the shower 1-2 times a week?

A common lab test during a medical exam is a blood count. The two main aspects are counting the number of white blood cells and differentiating white blood cells into several categories. One of the categories is neutrophils. Suppose 60% of white blood cells are neutrophils in a healthy person. What is the probability of seeing 2 neutrophils in a sample of three white blood cells from a healthy person? What is the probability of seeing 2 or fewer?​

An insurance company offers a $50,000 life insurance policy to people age 30 for $200. The offer the same policy to 50 year olds for $300. If the probability a 30 year olds dies within one year is 0.0018, and the probability of someone 50 years of age is 0.0049 explain which policies the insurance company will make the largest profit.

Students were all given a test that they ALL guess on. It had 10 questions and each were true or false. What is the probability that someone scored 0 or 10%