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Homework

On Frog.

H1 Chapter 12

Exercise 12C

Questions 8 and 9

Due next lesson

Mutually Exclusive and Exhaustive events

A little reminder

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.

Example

P(A and B) = 0

"The probability of A and B together equals 0 (impossible)"

Mutually Exclusive and Exhaustive events

In this section you will know how to:

  • Recognize mutually exclusive events, complementary and exhaustive events

A question to go through in pairs...

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

Firstly,

Mutually

Exclusive events

The answers

C)

D)

Mutually Exhaustive

Example

Questions

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.

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