Question-50

Let there be two newly launched motorcycles, \(X\) and \(Y\), with both motorcycles being equally likely to be selected. The probability that motorcycle \(X\) has good mileage is \(0.5\), and the probability that motorcycle \(Y\) has good mileage is \(0.7\). If a randomly selected motorcycle is found to have good mileage, what is the probability that the motorcycle is \(X?\) (Enter the answer upto three decimal accuracy)

Hint

Use the concept of ``Bayes Theorem”.

Answer

0.417

Solution