The probability that John and James pass an examination are 3/4 and 3/5 respectively, find the probability of both boys failing the examination
Answer Details
The probability that John passes the exam is 3/4, so the probability that John fails the exam is 1-3/4=1/4. Similarly, the probability that James fails the exam is 1-3/5=2/5.
Now, we need to find the probability that both John and James fail the exam. We can use the multiplication rule of probability which states that the probability of two independent events occurring together is the product of their individual probabilities.
Therefore, the probability of both John and James failing the exam is:
(1/4) x (2/5) = 1/10
So, the answer is \(\frac{1}{10}\).