Question

anita is playing a game with a spinner that is divided into multiple colored sections. the following table represents the number of sections that belong to each color on the spinner.

section color	sections
green	3
blue	1
yellow	7

what is the probability that when anita spins for her current turn, she lands on a red spot, and then on her next turn, she lands on a blue spot? enter your answer as either a simplified fraction or a decimal rounded to the nearest hundredth.
show your work here
enter your answer

Explanation:

Step1: Calculate total sections

$2 + 3+1 + 7=13$

Step2: Calculate probability of landing on red

The probability of landing on red, $P(\text{red})=\frac{2}{13}$

Step3: Calculate probability of landing on blue

The probability of landing on blue, $P(\text{blue})=\frac{1}{13}$

Step4: Calculate combined probability

Since the spins are independent events, the probability of landing on red then blue is $P = P(\text{red})\times P(\text{blue})=\frac{2}{13}\times\frac{1}{13}=\frac{2}{169}\approx 0.01$

Answer:

$\frac{2}{169}\approx 0.01$