Question

Two fair dices, X and Y , are tossed separately. Let A, B and C represent the following three events. A: You got an odd number from die X. B: You got an even number from die Y . C: The sum of two dice is an odd number. Whether A, B, C are independent

Answer 1

Events A and B are independent but Event C is dependent on both Event A and Event B.

Explanation:

Find whether events A, B and C are independent.

- Events A and B are independent of each other, because the appearance of an odd number on die X does not effect or influence the appearance of an even number on die Y.

- Event C, on the other hand, is dependent on both event A and event B. How?

For Event C to take place, one die will have to show an odd number while the other shows an even number.

NOTE: The odd number must not show up on die X and the even number show up on die Y. Both number types can appear on any die.

The key is just that one number must be odd and the other even; in order for their sum to be an odd number.