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M&M Probability Fractions

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M&M Probability Fractions

A packet has 24 sweets. Use the colour counts and clues below to investigate probability as fractions. Simplify fractions where possible. Imagine each sweet is equally likely to be selected.

Red: 6

Blue: 5

Green: 4

Yellow: 3

Brown: 4

Orange: 2

Read the packet

Use the colour counts above. Write each probability as a fraction of the whole packet, then simplify when possible.

1.What is the probability of picking a red sweet? Give the fraction in simplest form.
2.What is the probability of picking a blue or green sweet? Add the favourable counts before writing and simplifying the fraction.
3.Which colour is most likely to be picked? State its probability as a fraction of the packet.
4.Is picking a yellow sweet more likely, less likely or equally likely compared with picking an orange sweet? Explain using fractions.

Compare and predict

Fractions help us compare chances, even when the fractions have different denominators.

5.Ari says, “There is a 1/2 chance of picking a red or brown sweet.” Is Ari correct? Show the calculation and give the actual probability in simplest form.
6.A sweet is picked, recorded and replaced before the next pick. What is the probability of picking orange on one pick? What is the probability of picking orange on both of two picks?
7.If 6 sweets are picked with replacement, about how many would you expect to be red? Explain your estimate.
8.Two red sweets are eaten, and no other sweets are removed. What is the new probability of picking red? Write the new total and simplify the fraction.
9.The packet is mixed well and one sweet is picked at random. Is picking a colour with a smaller count more or less likely than picking red? Use one example to justify your answer.

2 printable pages

  • M&M Probability Fractions, page 1 of 2: Read the packet

    Page 1

  • M&M Probability Fractions, page 2 of 2: Compare and predict

    Page 2

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