Question

[Maximum mark: 5] A girl waiks to school every day. If it is not raining, the probability that she is late is \( \frac{1}{5} \). If it is raining, the probability that she is late is \( \frac{2}{3} \). The probability that it rains on a particular day is \( \frac{1}{4} \). On one particular day the girl is late. Find the probability that it was raining on that day.

          [Maximum mark: 5]
A girl waiks to school every day. If it is not raining, the probability that she is late is \( \frac{1}{5} \).
If it is raining, the probability that she is late is \( \frac{2}{3} \). The probability that it rains on a particular day is \( \frac{1}{4} \). On one particular day the girl is late. Find the probability that it was raining on that day.

[Maximum mark: 5]
A girl waiks to school every day. If it is not raining, the probability that she is late is (1)/(5).
If it is raining, the probability that she is late is (2)/(3). The probability that it rains on a particular day is (1)/(4). On one particular day the girl is late. Find the probability that it was raining on that day.

Added by Edward S.

Precalculus Functions and Graphs

Mark Dugopolski 4th Edition

Chapter 11

Instant Answer

Solved by Expert Frank Deng

Step 1

- The probability that it is not raining on a particular day, \(P(Not\ Rain) = 1 - P(Rain) = 1 - \frac{1}{4} = \frac{3}{4}\). - The probability that the girl is late given it is raining, \(P(Late|Rain) = \frac{2}{3}\). - The probability that the girl is late given Show more…

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[Maximum mark: 5] A girl waiks to school every day. If it is not raining, the probability that she is late is \( \frac{1}{5} \). If it is raining, the probability that she is late is \( \frac{2}{3} \). The probability that it rains on a particular day is \( \frac{1}{4} \). On one particular day the girl is late. Find the probability that it was raining on that day.