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?

Third option is correct.

Step-by-step 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,

Number of elements in D'∪A = 1.

Hence, Third option is correct.

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)