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Chance Outcome Exploration
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Chance Outcome Exploration
Read each question carefully. Choose, explain or draw your answer. A fair six-sided die has faces numbered 1 to 6.
Chance words and spinners
1.When rolling a fair six-sided die, what does it mean for the six numbers to be equally likely?
- Each number has the same chance of being rolled.
- Even numbers appear more often.
- The next roll must be different from the last roll.
2.A spinner has four equal-sized sections: one red, one yellow, one green and one blue. Which statement is true?
- Red is more likely than yellow.
- Each colour has the same chance of being selected.
- Green cannot be selected.
3.A spinner has eight equal-sized sections: four red, two blue and two green. Which colour is most likely to be selected?
- Blue
- Green
- Red
4.When you roll a fair six-sided die once, which two chance descriptions fit rolling a 6? Choose two.
- Certain
- Likely
- Unlikely
- Impossible
- As likely as rolling any other single number
Trying chance experiments
Die result
1
2
3
4
5
6
Times rolled
3
5
2
4
1
5
5.Use the results table. Which die number was rolled most often?
6.The 20 rolls had these frequencies: 1 was rolled 3 times, 2 was rolled 5 times, 3 was rolled 2 times, 4 was rolled 4 times, 5 was rolled once, and 6 was rolled 5 times. Why can these results differ even though the die is fair?
Colour
Red
Blue
Green
Yellow
Times selected
7
3
6
4
7.The spinner has four equal sections. Based on the 20 spins in the table, what might happen to the colour totals after 100 more spins?
8.After a fair die shows 4, is the next roll more likely to be a number other than 4?
Independent events and making a spinner
9.Are two rolls of a fair die independent events or dependent events?
- Independent
- Dependent
10.Are two spins of a spinner independent events or dependent events, if each spin is completed before the next begins?
- Independent
- Dependent
11.Are today's weather and tomorrow's weather usually independent events or dependent events?
- Independent
- Dependent
12.Draw a spinner with equal-sized sections so red is more likely than blue, while green and blue have the same chance. Label every section.
13.Explain how the spinner you drew makes red more likely than blue, while keeping green and blue equally likely.
3 printable pages
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Page 2
Page 3
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