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Probability Grab Bag Experiment
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Probability Grab Bag Experiment
A class is investigating chance using a bag of counters. The bag contains 6 red, 3 blue, 2 green and 1 yellow counter. For each draw, a counter is replaced and the bag is mixed. Study the recorded results below, then answer the questions. You do not need a real bag.
Explore the experiment
Each of the 20 draws was made with replacement, so the bag had the same contents every time.
Counter colour
Tally
Number drawn
Red
||||/ ||||/
10
Blue
||||/
5
Green
|||
3
Yellow
||
2
1.How many counters are in the bag altogether? Show how you worked it out.
2.Which colour was drawn most often in the 20 draws? How many times was it drawn?
3.Which colour was drawn least often, and how many times was it drawn?
4.What fraction of the 20 draws were blue? Write the fraction using the number drawn as the top number and the total draws as the bottom number.
5.Put the four colours in order from least often drawn to most often drawn, using the results table.
6.Choose the best description of drawing a purple counter from this bag: certain, likely, unlikely or impossible.
- Certain
- Likely
- Unlikely
- Impossible
7.If one counter is picked at random, which colour is most likely to be picked? Explain using the number of that colour in the bag.
8.The results show 10 red draws and 10 draws of other colours combined. Does that mean red is more likely than not to be picked? Choose yes or no, then explain.
9.A friend says, “Yellow appeared only twice, so there must be only two yellow counters in the bag.” Is the friend’s conclusion correct? Use the bag contents and results to explain.
10.If the experiment were repeated for 100 draws with replacement, would you expect the exact same counts for each colour? What might happen to the proportions?
2 printable pages
Page 1
Page 2
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