In a class, 40% ofthe students study math and science. 60% of the students study
ID: 3362021 • Letter: I
Question
In a class, 40% ofthe students study math and science. 60% of the students study math. What is the probability of a student studying science given he/she is already studying math? Show your work. Extra Credit: 7. When two dice are rolled, find the probability of getting a greater number on the first die than the one on the second, given that the sum =sum Hint: Let the event of getting a greater number on the first die be G and define the event E as the sum of 8 when two dice are rolled. Define the events G and E, then find P(G|E-sum equals 8).Explanation / Answer
The sum is 8 when the outcomes are the following
(2,6) (3,5) (4,4) (5,3) (6,2) - 5 cases
Among these, first number is greater than second in 2 cases - (5,3) (6,2) - 2 cases
P(G | E) = P(G and E)/P(G)
= 2/5
= 0.4