What does it mean for two events to be mutually exclusive?
AThey cannot both happen
BThey must both happen
CThey happen one after another
DThey have the same chance
Answer & Solution
Correct answer: A. They cannot both happen
1. Mutually exclusive events share no outcomes at all.
2. So there is no outcome that puts both events into play at the same time.
3. Rolling a number that is both even and odd is impossible, so those two events are mutually exclusive.
4. The probability that both occur together is therefore zero.
_Source: Siyavula Mathematics Grade 12 (Everything Maths, CC BY 4.0), Chapter 10: Probability_
Related questions
A bag holds 5 red beads and 3 blue beads. One bead is drawn and its colour noted, then it A four digit PIN is made from the digits 0 to 9. How many more PINs are possible if digitsTwo events are known to be mutually exclusive. What does that tell you about whether they Why is the fundamental counting principle used instead of a tree diagram for large problemTwo events are described as independent. What does that mean?On a given day the chance of rain is 0.4. When it rains, the chance a match is called off Two ordinary six-sided dice are rolled. What is the probability that the two numbers add uTwo events are independent. What does knowing that one of them happened tell you about the