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Question
Two dice are thrown. The events A, B and C are as follows:
A: getting an even number on the first die.
B: getting an odd number on the first die.
C: getting the sum of the numbers on the dice ≤ 5.
State true or false: (give reason for your answer).
A and B are mutually exclusive
Options
True
False
Solution
This statement is True.
Reason:
A: The first die is an even number
B: The first die is an odd number
No event A and B are common.
A ∩ B = ϕ
⇒ A and B are mutually exclusive events.
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