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Probability : Definition and Notation, Probability Formulae
Calculating Probability without the Formula

 

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Logic, Sets and Probability

Probability : Worked Examples

Example 1

The table below shows the number of male and female that play a sport in an IB class

image01

 

Calculate, on randomly selecting a student, the probability of selecting:

  1. A female? fraction4

  2. A male sports player? fraction1

  3. A sports player given she is female? (this is a conditional probability question) We are only interested in females = fraction2

  4. Male given he is a sports player? (this is a conditional probability question) We are only interested in the sports players = fraction3

 

Example 2

A bowl of fruit contained 5 oranges and 7 apples a child selected two pieces of fruit to take to school.

  1. Draw a tree diagram to show the possible choices made

  2. Calculate the probability of selecting an orange?

  3. Given an orange was selected, what is the probability that a apple was selected first?

 

(i)

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(ii) There are three ways of getting an orange

image03

(iii) We now need to use the conditional probability formula

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