A spinner has 8 equally sized sections labeled as A,B,C,D,E,F G,H. In160 spins how many times can you expect to spin on a constant?
There are two ways to approach this problem. One way is to use probability and the other way is to use ratio and proportion.
Using probability:
The probability of spinning on a constant (either A, B, C, D, E, F, G, or H) in one spin is 1/8. Therefore, the expected number of times to spin on a constant in 160 spins is:
Expected number = probability x number of spins
Expected number = 1/8 x 160
Expected number = 20
Therefore, you can expect to spin on a constant 20 times in 160 spins.
Using ratio and proportion:
Since there are 8 sections on the spinner, the ratio of spinning on a constant to spinning on any other section is 1:7. Therefore, if we divide 160 spins into 8 equal parts, we can expect to spin on a constant once in each part.
Number of spins in each part = 160/8 = 20
Therefore, you can expect to spin on a constant 20 times in 160 spins.
To find the expected number of times you can expect to spin on a constant in 160 spins, we need to calculate the probability of spinning on a constant and then multiply it by the total number of spins.
In this case, there are 8 sections in total, and only one of them is considered a constant. Therefore, the probability of spinning on a constant is 1/8.
To find the expected number, we multiply this probability by the total number of spins:
Expected number = Probability × Total number of spins
Expected number = (1/8) × 160
Expected number = 20
So, you can expect to spin on a constant approximately 20 times in 160 spins.