Question

An experiment consists of casting a pair of dice and observing the number that falls uppermost on each die.

Answer 1

An experiment consists of casting a pair of dice and observing the number that falls uppermost on each die.
(a) Determine the event that the sum of the numbers falling uppermost is less than or equal to 7. (Select all that apply.)
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

(b) Determine the event that the number falling uppermost on one die is a 4 and the number falling uppermost on the other die is greater than 4. (Select all that apply.)
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Answer 2

a.. choose all (x,y) such that x+y <= 7

b. choose all (x,y) such that (4,y>4) plus all (x>4,4)