IXL | Make predictions using experimental probability

Zoe supplies costumes to a number of theater companies. She recently provided 20 different hats, including 4 fedoras. Considering this data, how many of the next 15 hats requested from Zoe's inventory should you expect to be fedoras?

fedoras

ref_doc_title.

Learn with an example

question

At Tasty Dogs, 2 of the last 12 customers wanted mustard on their hot dogs. Considering this data, how many of the next 6 customers would you expect to want mustard?

customers

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.

(

mustard

)

mustard

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 6

You would expect 1 of the next 6 customers to want mustard.

Looking for more? Try these:

Lesson: Probability

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Teacher tools

Work it out

Not feeling ready yet? These can help:

II.5Experimental probability

Lesson: Probability

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!