Answer to Question #42093 in Statistics and Probability for Muhammad Awais

Question

There are two groups of subjects, one of which consists of 5 science subjects and 3 engineering subjects and the other consists of 3 science subjects and 5 engineering subjects. An unbiased die is cast. If number 3 or number 5 turns up, a subject is selected at random from the first group. Otherwise, a subject is selected random from the second group. Find the probability that an engineering subject is selected ultimately.