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IB MATH STUDIES

SETS, LOGIC AND PROBABILITY

PROBABILITY: WORKED EXAMPLES

1. The table below shows the number of male and female that play a sport in an IB class
 
  Male Female Total

Sport

04 08 12

No Sport

14 24 38

Total

18 32 50
 

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

  (i) A female? 
  (ii) A male sports player? 
  (iii) A sports player given she is female? (this is a conditional probability question) We are only interested in females =
  (iv) Male given he is a sports player? (this is a conditional probability question) We are only interested in the sports players =
     
2. A bowl of fruit contained 5 oranges and 7 apples a child selected two pieces of fruit to take to school.
  (i) Draw a tree diagram to show the possible choices made
  (ii)

Calculate the probability of selecting an orange?

  (iii)

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

     
  (i)

     
  (ii) There are three ways of getting an orange
 

 

   

 

  (iii)

We now need to use the conditional probability formula

   

 

 

     
   

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