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On Frog.
H1 Chapter 12
Exercise 12C
Questions 8 and 9
Due next lesson
Definition: Two events are said to be mutually exclusive if they cannot happen at the same time.
For example, if we toss a coin, either heads or tails might turn up, but not heads and tails at the same time.
P(A and B) = 0
"The probability of A and B together equals 0 (impossible)"
The probabilities of three teams A, B and C winning a badminton competition are
Calculate the probability that
a) either A or B will win
b) either A or B or C will win
c) none of these teams will win
d) neither A nor B will win
C)
D)
Turn to page: 321 to 323
C Grade Questions: 1-8
B Grade Questions: 9-12
You have to complete at least two questions
You have 4 minutes
Mutually exhaustive is used in probability theory and is the set of events that must have at least one possible outcome.
Example: This is mostly used in probability cases such as tossing a coin or spinning a dice.
P(A or B) = P(A) + P(B) - P(A and B)
"The probability of A or B equals
the probability of A plus the probability of B minus the probability of P(A or B) = P(A) + P(B) - P(A and B)
Example: Let Y represent the random number of accidents from 8am to 9am on
work-days.
If P[Y = 0] = 0.90 (no accident) and P[Y = 1] = 0.04 then P[Y > 1] = 0.06.