Question

Two dice are thrown simultaneously. Let A be the event of getting sum less than 4 and B be the event of getting sum not more than 4. Find set “A or B”.

(a) {(1,1), (1,2), (2,1)}

(b) {}

(c) {(1,1), (1,2), (1,3), (2,1), (2,2), (3,1)}

(d) {(1,3), (2,2), (3,1)}

I have been asked this question in final exam.

The doubt is from Probability in portion Probability of Mathematics – Class 11

Answer 1

The correct answer is (c) {(1,1), (1,2), (1,3), (2,1), (2,2), (3,1)}

The best explanation: A = {(1,1), (1,2), (2,1)}

B= {(1,1), (1,2), (1,3), (2,1), (2,2), (3,1)}

“A or B” contains elements of either A or B or both.

So, A or B = {(1,1), (1,2), (1,3), (2,1), (2,2), (3,1)}.