Question

1. The experiment of rolling a fair six-sided die twice and looking at the values of the faces that are facing up, has the following sample space.

For example, the result (1,2) implies that the face that is up from the first die shows the value 1 and the value of the face that is up from the second die is 2.

(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 pair of dice is thrown.

Let X = the number of values less than 3.

Complete the table to construct a probability distribution for X using the sample space from the experiment of rolling two fair six-sided dice.

NOTE: Your answers should be approximate decimals to 4 places.

x	P(x)
0	____________
1	____________
2	____________

P.D Thanks in advance

Answer 1

Given that a pair of dice is thrown, so the total number of outcomes is 36