The tree diagram shows all the possible choices for the soccer team uniform. If the players choose a uniform at random, what is the probability that the shorts and shirts will be the same color?

1 answer

To find the probability that the shorts and shirts will be the same color, we need to calculate the total number of outcomes where the shorts and shirts are the same color and divide it by the total number of possible outcomes.

From the tree diagram, we can see that there are 9 possible outcomes where the shorts and shirts are the same color: red, red; blue, blue; and green, green.

There are a total of 12 possible outcomes in the tree diagram.

Therefore, the probability that the shorts and shirts will be the same color is 9/12 = 3/4 or 0.75 (75%).