Diagnostic Probability Quiz

A bag has 2 orange, 4 green and 6 yellow. What is the theoretical probability of pulling out a green marble?

• 4/12

• 5/10

• 1/3

• 6/12

Answer explanation

4/12 and 1/3 are the same, 1/3 is just simplified. How did we get to these answers?

The letters that form the word MATHEMATICS are placed in a bowl. What is the probability of choosing a letter that is not a vowel?

• 4/11

• 2/11

• 7/11

• 9/11

Answer explanation

'A, E, I, O and U' are all vowels. There are 4 vowels in the word mathematics and 12 letters in total. Therefore, there are 7 non vowels (11-4 = 7) so the probability is 7/11.

How do you write 0.03 as a percentage?

• 0.3%

• 33%

• 30%

• 3%

Answer explanation

To make a decimal into a percentage we multiply by 100. 0.02 x 100 = 2% (don't forget the symbol).

What is the probability of the spinner landing on green or yellow?

• 4/14

• 4/12

• 3/14

• 8/12

Answer explanation

There are 12 spinner spaces in total and 4 green and yellow on the spinner.

What is the P(not red) on this spinner?

• 5/12

• 3/12

• 7/12

• 7/14

Answer explanation

There are 12 spinner spaces in total and 5 red on the spinner. We don't want red, we want not red. Therefore, the P(not red) = (12-5) = 7/12

What is an outcome?

• An activity that gives various results

• The chance or likelihood of an event

• A fraction or decimal

• The result of an experiment

Answer explanation

Think about the outcome of a soccer game, it is the result of the game i.e., who won, the score.

A set of all possible outcomes is known as -

• A list

• An event

• A sample space

• A result

Find the experimental probability:

Roll dice: 1, 3, 3, 4, 4

P(3) =

• 2/5

• 1/6

• 4/5

• 1/5

Answer explanation

P(A) = number of outcomes/number of sample space

Based on the chart, what is the experimental probability of pulling a green marble?

• 0.70

• 0.25

• 0.3

• 0.26

Answer explanation

Adding all of the outcomes = sample space.

Find the probability of landing on $2000 or more in one spin.

• 5/20

• 11/18

• 5/18

• 7/18

Answer explanation

There are 7 outcomes that are $2000 or more (including $2000). In total there are 18 possible outcomes.