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A spinner has sections that are coloured red, blue, green and yellow. The probabilities of getting a red and getting a blue are shown in the table. The probability of getting green is twice that of getting yellow.

Colour Red Yellow Blue Green
Frequency 0.4   0.3  

Find the probability of getting green.

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Important Questions on Quantifying Randomness: Probability

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At a school charity fundraising gala Sebastian decides to buy a ticket for the raffle. There are 360 people at the gala in total. Half of the people at the gala buy raffle tickets. Of those who buy raffle tickets, half buy two raffle tickets and the rest buy one ticket. There is only one winner of the raffle. What is the probability that Sebastian will win?

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The table shows the relative frequencies of the ages of students at a high school.

Age(years) Relative frequency
13 0.08
14 0.12
15 0.18
16 0.22
17 0.27
18 0.13
Total 1

A student is randomly selected from this school. Find the probability that the student is 15 years old.

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The table shows the relative frequencies of the ages of students at a high school.

Age(years) Relative frequency
13 0.08
14 0.12
15 0.18
16 0.22
17 0.27
18 0.13
Total 1

A student is randomly selected from this school. Find the probability that the student is 16 years of age or older.

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The table shows the relative frequencies of the ages of students at a high school.

Age(years) Relative frequency
13 0.08
14 0.12
15 0.18
16 0.22
17 0.27
18 0.13
Total 1

There are 1200 students at this school. Calculate the number of 15 -year-old students at school.

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The sides of a six-sided spinner are numbered from 1 to 6 . The table shows the results for 100 spins.

Number on spinner 1 2 3 4 5 6
Frequency 27 18 17 15 16 7

What is the relative frequency of getting a 1?

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The sides of a six-sided spinner are numbered from 1 to 6 . The table shows the results for 100 spins.

Number on spinner 1 2 3 4 5 6
Frequency 27 18 17 15 16 7

Do you think the spinner is fair? Give a reason for your answer.

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The sides of a six-sided spinner are numbered from 1 to 6 . The table shows the results for 100 spins.

Number on spinner 1 2 3 4 5 6
Frequency 27 18 17 15 16 7

The spinner is spun 3000 times. Estimate the number of times the result will be a 4.

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An eight-sided dice numbered from 1 to 8 is rolled 80 times to determine whether it is fair.

If the dice is fair, how many of each number would you expect to get?