Question

I toss a fair six-sided die twice, and obtain two numbers X and Y. Let A be the event that

X = 2, B be the event that X +Y = 7, and C be the event that Y = 3. Show mathematically

answers to the following.

(a) Are A and B independent?

(b) Are A and C independent?

(c) Are B and C independent?

(d) Are A,B, and C independent?

Answer 1

In the situation raised, variables A and C are independent variables and B is a dependent variable.

What is an independent variable?

An independent variable is a value of a mathematical operation that does not depend on the variation of other variables to change. The independent variables, on the other hand, influence the behavior of the dependent variables.

What is a dependent variable?

A dependent variable is a type of variables whose value depends on the independent variables.

According to the above, it can be inferred that the value of B is a dependent variable because it depends on the values of A and C, on the other hand, A and C are independent values because no event supposes a change in the value of A and C.

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