Question

marni and mikela are playing a color - guessing game. each player chooses two colors from a list of red (r), blue green (g), purple (p), and yellow (y). a player then has three chances to correctly guess both the colors that the player chose. the simulation of marnis guesses about mikelas colors are shown in the table. if mickelas colors are red and green, what is the experimental probability that marnis guesses are correct? write the answer as a fraction in simplest form.

Explanation:

Step1: Identify correct - guess criteria

Mikela's colors are red (R) and green (G). A guess is correct when both R and G are in the pair.

Step2: Count total number of trials

There are 10 trials in the table.

Step3: Count number of correct trials

Trials 7 and 8 have both R and G. So, the number of correct trials is 2.

Step4: Calculate experimental probability

The experimental probability $P$ is given by the formula $P=\frac{\text{Number of correct trials}}{\text{Total number of trials}}=\frac{2}{10}=\frac{1}{5}$.

Answer:

$\frac{1}{5}$