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Probability, SM-Bank 081

Guy is going to throw a ten sided dice labelled with the numbers 1 to 10.

He is interested in the likelihood of various events.

  1. List the sample space for throwing this dice.  (1 mark)
  2. List the favourable outcomes if Guy wants a number greater than 7.  (1 mark)
  3. List the favourable outcomes if Guy wants an odd number less than 5.  (1 mark)
  4. Which of the events from (b) and (c) above is more likely?  (1 mark)
Show Answers Only

a.    \(\text{{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}}\)

b.    \(\text{{8, 9, 10}}\)

c.    \(\text{{1, 3}}\)

d.    \(\text{(b) a number > 8}\)

Show Worked Solution

a.    \(\text{Sample space = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}}\)

b.    \(\text{Numbers}>7= \text{{8, 9, 10}}\)

c.    \(\text{Odd numbers}<5= \text{{1, 3}}\)

d.    \(\text{(b) a number} > 8\ \text{is more likely as it }\)

\(\text{has 1 more favourable outcome than (c).}\)