Question

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

Answer 1

Answer:

A. $\dfrac{1}{25}=0.04$ or 4%

B. $\dfrac{16}{25}=0.64$ or 64%

C. 8 times

Step-by-step 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

$P_1=\dfrac{\text{Number of favorable outcomes}}{\text{Number of all possible outcomes}}=\dfrac{1}{25}=0.04$

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

$P_3=\dfrac{2}{25}=0.08$

or 8% as a percent.

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

$100\cdot 0.08=8$