Question

Suppose that two balanced dice are rolled. Let X denote the sum of the two numbers. Userandom-variable notation to represent the event that the sum of the two numbers is less than 4.28)A){X Y < 4}B){X K 4}

Answer 1

Title:

The event can be represented by X + Y < 4.

Step-by-step explanation:

Two balanced dice are to be rolled here.

On each dice the outcome varies from 1 to 6.

If we denote, one of the die's outcome by X and for the other one we use Y, then the situation of getting the sum less than 4 can be represented by X + Y <4.

Hence, the sum will be either 2 or 3.

1. X = 1 and Y = 1.
2. X= 1 and Y = 2.
3. X = 2 and Y = 3.

The total of 36 combinations can be found.

The probability of the sum of the outcomes less than 4 is $\frac{3}{36} = \frac{1}{12}$.