Cogito
Grade 7 Math · Chapter 9 · Lesson 4
What Actually Happened
Experimental probability against theoretical.
10 problems · about 19 minutes · 7.SP.C.6, 7.SP.C.7
Figure — use these to answer the problems
Warm-Up Review
From earlier lessons. Loosen up before the new work.
3 problemsFrom “Probability as a Number”
A die. How many outcomes give a number above 4?
AnswerFrom “Samples and What They Tell You”
9 of 30 sampled. In 300, about how many?
AnswerFrom “Probability as a Number”
A fair die. Out of 6, how many outcomes are less than 3?
Answer
Warm Up
Straightforward practice. Get the method working first.
3 problemsA fair die rolled 120 times. About how many threes are expected?
AnswerA fair die rolled 60 times. About how many sixes are expected?
Answer50 spins give 30 reds. How many were not red?
Answer
Build It Up
The same ideas with more to keep track of.
2 problemsDoes 7 heads in 10 prove a coin is unfair? 1 for yes, 0 for no.
AnswerDo more trials usually bring the two closer? 1 for yes, 0 for no.
Answer
Stretch Yourself
Mixed problems. Work out what kind of question it is before you start.
2 problemsThe Flips
20 flips give 12 heads. How many gave tails?
AnswerThe Expectation
A fair coin flipped 60 times. About how many heads are expected?
Answer