(a)[3]
Determine the value of $x$.
(b)[2]
Two students from the college are selected at random. Find the probability that both students play in the band and both sing in the choir.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
The chance that a student at a large music college takes part in the band is $0.6$. If a student is in the band, the chance that she also performs in the choir is $0.3$. If a student is not in the band, the chance that she sings in the choir is $x$. The probability that a student selected at random from the college does not sing in the choir is $0.58$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Form and solve an equation of the type $0.6x+0.4(x-1)=0.58$” …
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