Step by step
The question
Question: Maya took 40 free throws and made 30.
Predict how many she makes in 100.
1 Times it happened over times tried
It happened 30 times out of 40 throws.
So the experimental probability is 30/40.
P(a make) = 3040
Experimental probability comes from what really happened in the experiment.
experimental = what really happened
30 and 40 can both be divided by 10.
So it is 3/4.
= 30 ÷ 1040 ÷ 10 = 34
2 Predict
We expect the same fraction in 100 throws: 3/4 of 100.
Of means times.
= 34 × 100
100 divided by 4 is 25.
100 ÷ 4 = 25
Then times 3.
= 3 × 25
So about 75.
= ≈ 75
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: 75 out of 100 is 3/4, the same fraction as before.
So the answer is right!
75100 = 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