AP EAMCET · Maths · Probability
The probability that a person goes to college by car is \(\frac{1}{5}\); by bus \(\frac{2}{5}\) and by train is \(\frac{3}{5}\) respectively. The probabilities that he reaches the college late if he takes car, bus, train are \(\frac{2}{7}, \frac{4}{7}\) and \(\frac{1}{7}\) respectively. If he reaches the college in time, the probability that he traveled by car is
- A \(\frac{6}{29}\)
- B \(\frac{24}{29}\)
- C \(\frac{5}{29}\)
- D \(\frac{23}{29}\)
Answer & Solution
Correct Answer
(C) \(\frac{5}{29}\)
Step-by-step Solution
Detailed explanation
Let \(\mathrm{C}=\) The event that person goes by car \(\mathrm{B}=\) The event that person goes by bus \(\mathrm{T}=\) The event that person goes by train and \(L=\) The event that person reach as college late Now,…
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