IXL | Make predictions using experimental probability

At Dairy Freeze, 2 of the last 10 sundaes sold had nuts. Considering this data, how many of the next 20 sundaes sold would you expect to have nuts?

sundaes

ref_doc_title.

Learn with an example

question

Morning Donuts recently sold 14 donuts, of which 7 were cake donuts. Considering this data, how many of the next 6 donuts sold would you expect to be cake donuts?

cake donuts

key idea

The experimental probability is the number of times an event occurs out of the total number of trials.

solution

First, write the experimental probability as a fraction in simplest form.

(

cake donut

)

cake donuts

total

The experimental probability is

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

(

)

Multiply both sides by

(

)

(

)

Multiply both sides by

(

)

Simplify

Divide both sides by 2

You would expect 3 of the next 6 donuts sold to be cake donuts.

Looking for more? Try these:

Lesson: Probability

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Work it out

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II.5Experimental probability

Lesson: Probability

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