2. A spinner numbered 1 to 8 and a standard die are shown.


The spinner is spun and the die rolled. The numbers that appear on each are added together to give a total score.


(i) Copy the table below and list all the possible scores. Some scores have already been added.


1


1 1 + 1 = 2 2 2 + 1 = 3 3 3 + 1 = 4 4 4 + 1 = 5 5 5 + 1 = 6 6 6 + 1 = 7


2 3 2 + 3 = 5 3 + 4 = 7 4 + 6 = 10 To cut out at hi-res – Design 6 + 5 = 11


(Note: numbers in black represent the score obtained) (ii) How many possible outcomes are there? (iii) What is the probability of scoring 8? (iv) What is the probability of scoring an even number? (v) What is the probability of scoring a multiple of 3? (vi) What is the probability of not scoring a prime number?


3. Neither Andrew nor David like to set the table for dinner. They each toss a coin to decide who will set the table.


● ● ●


If both coins show heads, David sets the table. If both coins show tails, Andrew sets the table.


If the coins show a head and a tail, Andrew and David set the table together.


(i) Calculate the probability the David will have to set the table on a particular day.


(ii) What is the probability they both have to set the table on a particular day?


4. A coin is tossed three times. Each result is recorded.


(i) Display all possible outcomes using a tree diagram.


(ii) What is the probability of getting three heads?


(iii) What is the probability of getting two tails and one head?


(iv) What is the probability of getting heads, then tails, and fi nally heads?


5. Explain the fundamental principle of counting (FPoC) in your own words. Do you think it is an easier way of calculating the total number of outcomes than by using a tree diagram or two-way table? Justify your answer.


6. A restaurant off ers starters, main courses and desserts. It has three kinds of starters, fi ve kinds of main courses and four desserts.


(i) How many choices are on off er if each customer gets one starter, one main course and one dessert?


(ii) How many choices are on off er if each customer only gets one starter and one main course?


7. Samuel wants to know if he can go a whole month without wearing the exact same outfi t twice.


He has three pairs of tracksuit bottoms, six t-shirts and three pairs of runners. Can he make a unique outfi t for each day of the month? Assume a month contains 30 days. Justify your answer.


5 + 8 = 13 5 8 7 6


Number on the spinner 4


5


1


2 3 4


6


7 2 + 7 = 11


8


106


Linking Thinking 1


Number on die


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