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 rap is 0.4 , the probability that a student sings in the shower 3-4 times a week is 0.4, and the probability that a student prefers rap or sings in the shower 3-4 times a week is 0.5 .
What is the probability that a randomly chosen student prefers rap and sings in the shower 34 times a week?
Write your answer as a whole number, decimal, or simplified fraction.