The University of Oregon’s football team has many different uniforms. The coach can choose from four copies of jerseys and pants: green, yellow, white, and black. There are three helmet options: green, white, and yellow. Also, there are the same four colors of socks and two colors of shoes, black and yellow. How many jersey/pant combinations are there? If the coach picks a jersey/pant combination at random, what is the probability he will pick a yellow jersey with green pants? Use a tree diagram to find all of the possible shoe and sock combinations.
There are 16 jersey/pant combinations (4 jersey colors x 4 pant colors).
The probability of picking a yellow jersey with green pants is 1/16. This is because there is only one combination of yellow jersey and green pants, and there are 16 total combinations.
Tree diagram for shoe and sock combinations:
Shoe color
/ \
Black Yellow
/ \ / \
Green Yellow Green Yellow
White Yellow White Yellow
There are 8 possible shoe and sock combinations (2 sock colors x 2 shoe colors x 2 sock colors).