If two fair dice, one red and one white, are rolled, in how many ways can the result be obtained?
The sum of the two dice is less than 5.
O A. 4 ways
OB. 10 ways
OC. 6 ways
OD. 5 ways

Respuesta :

Answer:

C. 6 ways

Step-by-step explanation:

When two fair dice are rolled, the sample space of the outcome  is given below:

[tex](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)[/tex]

Where in the pair (x,y), x represents the red die and y represents the white die.

The outcome in which the sum of the two dice is less than 5 are:

[tex](1,1) (1,2) (1,3) \\(2,1) (2,2) \\(3,1)[/tex]

Therefore, this result can be obtained in 6 ways.

The correct option is C.

Considering all the possible outcomes, it is found that the number of times a sum of the two dice less than 5 can be obtained is:

C. 6 ways

What are the possible outcomes when two dices are rolled?

(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)

Of those, the ones with a sum of less than 5 are given by:

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

6 ways, hence option C is correct.

A similar problem, in which the number of possible outcomes is found, is given at https://brainly.com/question/24314866