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Suppose two dice (one red, one green) are rolled. Consider the following events.
A: the red die shows 5.
B: the numbers add to 4.
C: at least one of the numbers is 3.
D: the numbers do not add to 10.
Express the event "The numbers do not add to 4." in symbols.
1
B D D' B' B' ∪ D

How many elements does it contain?
2

• math -

B : the numbers add to 4.
D : the numbers do not add to 10
D' : is the complement of D, i.e.
the numbers add to 10
B' : is the complement of B
______________________

B' ∪ D : is the complement of B or D
= the numbers do not add up to four or the numbers do not add to 10

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