Eduardo has a red 6-sided number cube and a blue 6-sided number cube. the faces of the cubes are numbered 1 through 6. eduardo rolls both cubes at the same time. the random variable x is the number on the red cube minus the number on the blue cube. what is p(−2≤x≤1)? enter your answer, in simplest fraction form, in the box.

5/9

Step-by-step explanation: Just took the test

P(−2≤X≤1) = 5/9.

Step-by-step explanation:

Given:

P(-2≤X≤1) and he random variable X is the number on the red cube minus the number on the blue cube

x = -2. -1. 0 and 1

Let's take first number as in the red cube and the second number is in blue cube.

We get x = -2 for the following outcomes

(1, 3), (2, 4), (3, 5), and (4, 6).  which is 4 favorable outcomes.

We get x = -1,  for the following outcomes:

(1, 2), (2, 3), (3, 4), (4, 5), and (5, 6).  which is 5 favorable outcomes

We get x = 0, when (1, 1) (2, 2)(3, 3)(4, 4) (5, 5),(6, 6) which is 6

We get x = 1, when (2, 1), (3, 2) (4, 3) (5, 4) (6, 5), which is 5.

The number of favorable outcomes=  4 + 5 + 6 + 5 = 20

The number of possible outcomes = 36 (when we toss the two dices, the possible number of outcomes is 36)

The required probability  P(−2≤X≤1) = The total number of favorable outcomes / the total number of possible outcomes

= 20/36

P(−2≤X≤1) = 5/9.

Hope this will helpful.

Thank you.

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step-by-step explanation: