9709 P51 - Nov 2020 - Q2
2576
The probability that a student at a large music college plays in the band is 0.6. For a student who plays in the band, the probability that she also sings in the choir is 0.3. For a student who does not play in the band, the probability that she sings in the choir is x. The probability that a randomly chosen student from the college does not sing in the choir is 0.58.
(a) Find the value of x.
Two students from the college are chosen at random.
(b) Find the probability that both students play in the band and both sing in the choir.
