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Statistics and Probability Introduction
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Statistics and Probability Introduction
Read the data carefully. Show your working where needed, and explain your reasoning in complete sentences.
Chance and probability
Probability describes how likely an event is. It ranges from impossible (0) to certain (1).
1.A fair coin is flipped once. Which list shows all the possible outcomes?
- Heads and tails
- Heads only
- Tails only
- Heads, tails and a six
2.A fair six-sided die is rolled. What is the probability of rolling a number greater than 4? Give your answer as a fraction.
3.A weather app gives tomorrow a 70% chance of rain. Which statement is the best interpretation?
- Rain is certain.
- Rain is more likely than not, but it is not certain.
- Rain is impossible.
- It will rain for 70% of the day.
4.Place these events on the probability scale: A = rolling a 7 on a standard six-sided die; B = rolling an even number; C = rolling a number from 1 to 6. Write each event’s letter at the correct probability.
Collecting and interpreting data
A group gathered information about how students travelled to a weekend sports event.
Transport
Students
Walk
6
Bicycle
4
Car
10
Bus
5
5.How many students were included in the travel survey?
6.Which type of transport was most common, and how many students used it?
7.What fraction of the surveyed students travelled by bicycle? Simplify your answer.
8.A student says, “More than half of the group travelled by car.” Use the table to decide whether the statement is true or false. Support your decision with numbers.
TrueFalse
9.The travel survey included 25 students at one sports event. Give one reason why its results might not represent how all students in the area travel.
10.Design a simple chance investigation you could carry out with a coin or die. State a question to investigate and describe how you would collect enough results to compare experimental outcomes with what you expect.
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