Question

A blue die and a red die are thrown.
B is the event that the blue comes up an even number.
E is the event that both dice come up even.
Enter the sizes of the sets |E ∩ B| and |B|

Answer 1

The size of the set |E∩B| is 9 and the size of the set |B| is 18 if the B is the event that the blue comes up an even number, E is the event that both dice come up even.

What is set?

A set is a collection of clearly - defined unique items. The term "well-defined" applies to a property that makes it simple to establish whether an entity actually belongs to a set. The term 'unique' denotes that all the objects in a set must be different.

The set B of event that the blue comes up an even number

B = (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (5,1),  

      (5,2), (5,3), (5,4), (5,5), (5,6)}

E = {(1,1), (1,3), (1,5), (3,1), (3,3), (3,5), (5,1), (5,3), (5,5)}

E∩B = ((1,1),(1,3), (1,5), (3.1), (3.3), (3,5), (5,1), (5,3), (5,5)}

|E∩B| = 9

|B| = 18

Thus, the size of the set |E∩B| is 9 and the size of the set |B| is 18 if the B is the event that the blue comes up an even number, E is the event that both dice come up even.

Learn more about the set here:

brainly.com/question/8053622

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