Problem solving with theoretical probability | Maths | Quizalize & Oak National Academy

Starter quiz

The table shows the possible outcomes when two six-sided dice are rolled and their numbers are summed. Which outcome is most likely to happen?

5

6

7 ✓

8

9
$The table shows the possible outcomes when two six-sided dice are rolled and their numbers are summed. Which outcomes have a probability of <Math>{3}\over{36}</Math>?$

The table shows the possible outcomes when two six-sided dice are rolled and their numbers are summed. Which outcomes have a probability of ${3}\over{36}$ ?

2

4 ✓

6

8

10 ✓
The table shows the possible outcomes when two six-sided dice are rolled and their numbers are summed. What is the probability that the dice sum to 5?

${1}\over{6}$

${5}\over{6}$

${4}\over{15}$

${4}\over{36}$ ✓

${5}\over{36}$
Which calculation would increase 80 by 50%?

$80 \times 0.5$

$80 \times 1.5$ ✓

$80 \times 50$

$80 \times 150$
Increase 20 by 40%.

'28' ✓
What is 1.5% of 1000?

'15' ✓

Exit quiz

Two dice are rolled and their values are added together. Assuming I drew the table as efficiently as I could, how many sides are on each dice?

4 and 8 ✓

4 and 6

8 and 10

6 and 6
The table shows the sample space for when two 8-sided dice are rolled and their values are added together. Which is the most likely outcome?

'9' ✓
The table shows the sample space for when a 6-sided dice and a 4-sided dice are rolled and their values are added together. What is the probability that the dice sum to 5?

${1}\over{8}$

${5}\over{8}$

${4}\over{12}$

${4}\over{24}$ ✓

${5}\over{24}$
The tables show the sample space for scenarios where two dice are rolled and their values are added together. Which sample space has the greatest probability of the dice summing to 9?
The tables show the sample space for scenarios where two dice are rolled and their values are added together. Which sample space has the greatest probability of the dice summing to 7?
The tables show the sample space for scenarios where two dice are rolled and their values are added together. Which sample space has the greatest probability of the dice summing to 6?

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Lesson Details

Key learning points

Knowledge of probability can be applied to real world situations .
Probabilities can be used to aid decision making.
Theoretical probabilities come from long-term behaviour and therefore may not be seen in the short-term.

Common misconception

When increasing a probability by 50%, pupils may choose to add 50% onto the existing probability rather than multiplying by 1.5.

Make links to any previous work pupils may have done on increasing by a percentage and emphasise that a percentage increase is being applied to the probability.

Keywords

Sample space - A sample space is all the possible outcomes of a trial. A sample space diagram is a systematic way of producing a sample space.
Tree diagram - Tree diagrams are a representation used to model statistical/probability questions. Branches represent different possible events or outcomes.
Outcome table - An outcome table is a table that shows all the possible outcomes.