(a)[4]
Write down an equation in terms of $x$ and then find the value of $x$.
(b)[3]
Find the probability that the two cards have pictures of the same type of vehicle on them.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
Gio owns a set of 18 cards. Ivy owns a set of $x$ cards. Every card shows either a bus, a car or a train. The numbers of each picture in the two sets are listed in the table. One card is selected at random from each set. The chance that both cards show buses is equal to twice the chance that both cards show cars.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$\frac{6}{18}\times\frac{x-12}{x}=2\times\frac{10}{18}\times\frac{9}{x}$” …
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