Question

Suppose that you spin the double wheel pictured to the right. Assuming that the wheels are independent and each outcome is equally​ likely, determine the probability that you get red on both wheels.
A spinner consists of two concentric unequal circular wheels with the smaller one placed on the larger. The smaller wheel is divided into 8 equal sectors. The number of sectors for each color is as follows, where the label is listed first and the number of sectors is listed second: red, 3; blue, 2; yellow, 1; grey, 2. The larger wheel is divided into 12 equal sectors. The number of sectors for each color is as follows, where the label is listed first and the number of sectors is listed second: red, 4; blue, 2; yellow, 2; grey, 2; green, 2.

B=blue
G=green
Y=yellow
R=red
g=grey

The probability is:_________

Answer 1

Answer:

0.125

Step-by-step explanation:

Smaller Wheel

Total Number of Equal Sectors = 8

The number of Red sectors =3

The probability of obtaining red on the smaller wheel $=\dfrac38$

Larger Wheel

Total Number of Equal Sectors = 12

The number of Red sectors =4

The probability of obtaining red on the larger wheel $=\dfrac{4}{12}$

Assuming that the wheels are independent and each outcome is equally​ likely, the probability that we get red on both wheels

$=\dfrac38 \times \dfrac{4}{12}\\\\=\dfrac18\\\\=0.125$

The probability is: 0.125