Step by step
The question
Question: Ana took 60 free throws and made 45.
Predict how many she makes in 200.
1 Times it happened over times tried
It happened 45 times out of 60 throws.
So the experimental probability is 45/60.
P(a make) = 4560
Experimental probability comes from what really happened in the experiment.
experimental = what really happened
45 and 60 can both be divided by 15.
So it is 3/4.
= 45 ÷ 1560 ÷ 15 = 34
2 Predict
We expect the same fraction in 200 throws: 3/4 of 200.
Of means times.
= 34 × 200
200 divided by 4 is 50.
200 ÷ 4 = 50
Then times 3.
= 3 × 50
So about 150.
= ≈ 150
Careful!
A prediction is only about how many.
The next throws can come out a bit different.
Careful: about, not exactly: chance can change it
3 Check
Let's check: 150 out of 200 is 3/4, the same fraction as before.
So the answer is right!
150200 = 34
Let's look back.
First: times it happened over times tried.
Then: predict.
Last: check.
Answer
Careful: about, not exactly: chance can change it