Question
The sample space contains 5 As and $7 \mathrm{Bs}$. What is the probability that a randomly selected set of 2 will include $1 \mathrm{~A}$ and $1 \mathrm{~B}$ ?
Step 1
In this case, we have 5 As and 7 Bs, so the total number of items is 12. We are choosing 2 items, so the total number of possible outcomes is given by the combination formula "12 choose 2". This is represented as $_{12}C_{2}$ in LaTeX. Show more…
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