Question

George spun a 6 sided spinner that had colors blue, red, white, yellow, black, and purple. She landed on blue-3 times, red-4-times, white-3 times, yellow-2 times, black-5 times, and purple-1 time. What is the experimental probability that George will spin a red then a yellow?

Answer 1

Answer:

$\frac{2}{81}$

Step-by-step explanation:

Step 1

List the experimental probabilities of each color using the first letter of that color. The spinner is spun 18 times The probabilities are listed below. P(blue)=3/18, P(red=4/18), P(white) =3/18, P(yellow)=2/18, P(black)=5/18, P(purple)=1/18

Step 2

The second step is to calculate the required probability given the information in step 1. The probability that George will spin a red and then a yellow is obtained by multiplying the probability that he spins a red and the probability that he spins a yellow. This calculation is shown below,

$P=P(red)\times P(yellow)=\frac{4}{18} \times \frac{2}{18} =\frac{8}{324} =\frac{2}{81}.$

The correct answer is  $\frac{2}{81}$