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)

a)

b)

Step-by-step explanation:

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

When two dice rolled once the outcome will be,

(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)  

(a) Determine the event that the sum of the numbers falling uppermost is less than or equal to 7.

Solution :

Favorable outcome are (the sum of the numbers falling uppermost is less than or equal to 7)

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5)

(3,1) (3,2) (3,3) (3,4)

(4,1) (4,2) (4,3)

(5,1) (5,2)

(6,1)

So, Favorable outcome = 21

Total number of outcome = 36

(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.

Solution :

Favorable outcome are (the number falling uppermost on one die is a 4 and the number falling uppermost on the other die is greater than 4.)

(4,5) (4,6) or (5,4) (6,4)

So, Favorable outcome = 4

Total number of outcome = 36

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.

step-by-step explanation: s