Candle combos


This task is about possible outcomes, tree diagrams and probability.
Lynne had some candles in a box.
The height of each one was either tall or short.
The colour of each one was either yellow or red. 
 
The probability of the height being:
  • tall was 1⁄3
  • short was 2⁄3

The probability of the colour being:

  • yellow was 1⁄4
  • red was 3⁄4
The tree diagram below illustrates the probabilities of all the different combinations of height and colour of the candles.
 
a)
Complete the tree diagram by filling in all the blank boxes and circles with the correct word or probability.
One probability and one word have been written in for you.
 
 

 

b)
A candle is chosen without looking. What is the probability that the candle is ...
 
  i)
  
ii)
tall and yellow? __________
 
short and red? __________
Published on Assessment Resource Banks (https://arbs.nzcer.org.nz)