The probability that a student at a large music college plays in the band is $$\(0.6\)$$. For a student who plays in the band, the probability that she also sings in the choir is $$\(0.3\)$$. For a student who does not play in the band, the probability that she sings in the choir is $$\(x\)$$. The probability that a randomly chosen student from the college does not sing in the choir is $$\(0.58\)$$. Two students from the college are chosen at random. Find the probability that both students play in the band and both sing in the choir. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

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