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Rivergum Market Probability Revision

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Rivergum Market Probability Revision

Show your working where appropriate. Give probabilities in the form requested, and include units for monetary amounts and attendance.

Probability scale

Probability ranges from 0 (impossible) to 1 (certain). Experimental probability is calculated from observed results: number of times an event occurs divided by the total number of trials. Probabilities can be written as fractions, decimals or percentages.

1.A market raffle has had 16 draws, and the prize was won on 4 draws. Find the experimental probability of a win as a simplified fraction, a decimal and a percentage.

Fluency

Work with probability, percentages and summary statistics.

2.Order these chances from least likely to most likely: a 0.35 chance of rain, a 2/3 chance a food stall sells out, and a 70% chance the music stage is open.

3.In October, rain was recorded on 9 days out of a 30-day period. Calculate the experimental probability of rain on a randomly selected October day as a simplified fraction and a percentage.

4.A survey of 80 market visitors found that 34 preferred the food court. What percentage of the visitors surveyed preferred the food court?

5.Market attendance over seven events was 265, 310, 295, 340, 280, 325 and 305 people. Calculate the mean and median attendance.

Interpreting data

Check how data is displayed as well as what the numbers show.

Stall group

Total raised

Group A — bar height: 2 units above $400

$500

Group B — bar height: 4 units above $400

$600

6.Using the fundraising display, explain how starting the vertical scale at $400 could give a misleading impression of the difference between the groups. State the actual dollar difference.

Challenge

Use grouped data and interpret a prediction based on probability.

7.Ten purchases at a market were $6, $11, $14, $6, $19, $23, $8, $14, $31 and $7. Place the purchases into the intervals $0–$9, $10–$19, $20–$29 and $30–$39. Give the frequency in each interval and identify the modal interval(s).

8.Past records suggest the probability of clear weather at a market event is 0.65. Over the next 8 events, how many clear-weather events would this probability predict? Explain why the actual number might differ.

9.The probability that a drinks stall runs out of ice is 0.42. Is this more or less likely than an event with a 50% chance? Support your answer with a probability comparison.