Step by step
The question
Question: Leo took 25 free throws and made 15.
Predict how many he makes in 75.
1 Times it happened over times tried
It happened 15 times out of 25 throws.
So the experimental probability is 15/25.
P(a make) = 1525
Experimental probability comes from what really happened in the experiment.
experimental = what really happened
15 and 25 can both be divided by 5.
So it is 3/5.
= 15 ÷ 525 ÷ 5 = 35
2 Predict
We expect the same fraction in 75 throws: 3/5 of 75.
Of means times.
= 35 × 75
75 divided by 5 is 15.
75 ÷ 5 = 15
Then times 3.
= 3 × 15
So about 45.
= ≈ 45
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: 45 out of 75 is 3/5, the same fraction as before.
So the answer is right!
4575 = 35
Let's look back.
First: times it happened over times tried.
Then: predict.
Last: check.
Answer
Careful: about, not exactly: chance can change it