In a concert band, the probability that a member is in the brass section is 0.50. The probability that a member plays trombone,
given that he or she is in the brass section, is 0.24. What is the probability that a randomly selected band member is in the brass section and plays trombone?
To obtain this probability, you need to multiply the two probabilities.. since it's comprised of two events: one that he's in the brass section, one that he plays trombone. The probably of him playing trombone only happens if he's in the brass section.
So, you have the possibility he's in the brass section: 0.50
The possibility he's playing trombone, if he's in the brass section: 0.24
