Solution: We begin by factoring the numerator:
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- Total favorable: $252 + 126 = 378$.
- Probability: $ rac{378}{495} = rac{126}{165} = rac{42}{55}$.
- Thus, the probability is $oxed{\dfrac{42}{55}}$.Question: A bioinformatician models the expression level of a gene as a function $ E(t) = rac{t^2 + 4t + 3}{t + 1} $, where $ t $ represents time in hours after treatment. Simplify $ E(t) $ and determine $ \lim_{t o -1} E(t) $, if it exists.
- t^2 + 4t + 3 = (t + 1)(t + 3)
- E(t) = rac{(t + 1)(t + 3)}{t + 1}
- For $ t
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