Question

Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die shows 1; B: the numbers add to 4; C: at least one of the numbers is 3; and D: the numbers do not add to 9. Express the given event in symbolic form. HINT [See Example 5.]

Either the numbers add to 9 or the red die shows a 1.

D ∩ B

D ∩ A

D' ∪ A

D' ∩ A

D' ∪ B

How many elements does it contain?

Answer 1

Answer: Third option is correct.

Explanation:

Since we have given by

Event A: the red die shows 1

Event B : the numbers add to 4

Event C: at least one of the numbers is 3

Event D : the numbers do not add to 9.

D' means the number add to 9.

We need to write the following statement in symbolic form:

Either the numbers add to 9 or the red die shows a 1.

So, it becomes,

`D'\cup A`

Number of elements in D'∪A = 1.

Hence, Third option is correct.