Question

Out of 300 spins, how many times is the pointer of the spinner
expected to land on Win?
Step 1 Find the possible
outcomes of one spin.
There are 8 equal-sized
sections, so there are 8
possible outcomes.
Step 2 Find the theoretical
probability that the pointer will
land on Win.
P(Win) = number of Win sections
total number of sections
2
8 = 1
4
Step 3 Use proportional
reasoning to predict
the likely number of
winning spins, w.
1
4 = w
300
1
4 # 300 = w
300 # 300
75 = w
Out of 300 spins, you can expect the pointer to land on Win about 75 times.
On how many out of 200 spins do you expect the pointer to land on Win?
1. How many equal-sized sections does this spinner have?
2. Find the theoretical probability that the pointer will land on Win.
P(Win) = number of Win sections
total number of sections = □
□ = 1
□
3. Complete the proportion to find the number of expected wins,
w, in 200 spins.
□
□ = w
4. On how many out of 200 spins do you expect the pointer to land on Win?
On the Back!
5. Of 8 equal-sized sections on a spinner, 3 are shaded green. On how many
out of 400 spins do you expect the pointer to land in a green section?

Answer 1

1. The spinner has 8 equal-sized sections.

2. P(Win) = number of Win sections / total sections = 2/8 = 1/4.

3. Proportion: 1/4 = w/200. Solve: w = 200 × 1/4 = 50.

4. You expect the pointer to land on Win about 50 times out of 200 spins.

5. For the green sections: P(green) = 3/8. Expected green hits in 400 spins = 400 × 3/8 = 150.