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A spinner with 3 equal parts landed on yellow 21 times in 50 spins…

Step by step, with the reason for every step · Experimental probability · Probability

Step by step

The question

Question: A spinner with 3 equal parts landed on yellow 21 times in 50 spins.

Predict the yellows in 1,000 spins.

1 Times it happened over times tried

It happened 21 times out of 50 spins.

So the experimental probability is 21/50.

P(yellow) = 2150

Experimental probability comes from what really happened in the experiment.

experimental = what really happened

2 Predict

We expect the same fraction in 1000 spins: 21/50 of 1000.

Of means times.

= 2150 × 1000

1000 divided by 50 is 20.

1000 ÷ 50 = 20

Then times 21.

= 21 × 20

So about 420.

= ≈ 420

Careful!

A prediction is only about how many.

The next spins can come out a bit different.

Careful: about, not exactly: chance can change it

3 Check

Let's check: 420 out of 1000 is 21/50, the same fraction as before.

So the answer is right!

4201000 = 2150

Let's look back.

First: times it happened over times tried.

Then: predict.

Last: check.

Answer
Careful: about, not exactly: chance can change it

Your turn

Try this one yourself, then check:

Show the answer
about 460

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