Question

CL 1-148. The county-fair prize wheel has equally spaced sections with the following colors:

one is golden, two are silver, three are green, four are blue, six are red, and nine are yellow.
a) What is the probability of landing on gold? Give your answer as a fraction and as a
percent.
b) If the probability of landing on yellow is 36%, what is the probability of not landing on
yellow?
b) If the wheel is spun 100 times, how many times would you expect to land on silver?​

Answer 1

A.
`(1)/(25)=0.04` or 4%

B.
`(16)/(25)=0.64` or 64%

C. 8 times

Explanation:

The county-fair prize wheel has equally spaced sections with the following colors: 1 is golden, 2 are silver, 3 are green, 4 are blue, 6 are red, and 9 are yellow, 25 sections in total.

A. The probability of landing on gold is

`P_1=\frac{\text{Number of favorable outcomes}}{\text{Number of all possible outcomes}}=(1)/(25)=0.04`

or 4% as a percent.

B. If the probability of landing on yellow is 36% (or 0.36 as decimal), then the probability of not landing on yellow is

`P_2=1-0.36=0.64`

or 64% as a percent.

C. If the wheel is spun 1 time, the probabilty of landing on silver is

`P_3=(2)/(25)=0.08`

or 8% as a percent.

If the wheel is spun 100 times, the expected number of landing on silver is

`100\cdot 0.08=8`