I encounter a Maths question that I have spent for more than two hours to try but unable to figure out how to do it. Actually I finally reached the answer but I hope someone can show me the detailed solution and its tree diagram. Please.
The question is
The ratio of male students to female students in different forms of a school is 4:6 and the ratio of S1-2 students, S3-4 students and S5-6 students in the school is 5:4:1. The probabilities of an S1-2 student, an S3-4 student and an S5-6 student spending more than 4 hours online per day are 30%, 25%, 10% respectively. If a randomly selected student has spent more than 4 hours online in a day, find the probability that the student is an S6 male student.
I really don't know how to draw the tree diagram and solve the question in the Bayes' Theorem's approach
Please help, Thank you
when it comes to using Bayes' Theorem to solve the problems.
I can't draw the diagram but my tree diagram is ( I am not sure if it is correct)
The first branch is M and F. Then for M and F themselves, each are branched into
three possibility S1-2 , S3-4 and S5-6. Then for each sub-branch of the student level, they are then further branched into event E and complement of E (E: student who spends more than 4 hours online a day)
Since there are three levels of branches. I don't know how to apply Bayes' Theorem to solve the problems, most reference books only show examples of