Three-Step Experiment: First, Randomly Choose One of the Boxes Described $$\text { (Hint: } P \text { (at least } 1 \text { red } ) = 1 - P ( 0 \text { red } ) )$$

Essay

Three-step experiment: First, randomly choose one of the boxes described below. Then draw one marble. Without replacement, draw another marble from the same box. Note the colors of the two marbles (W = white, R = red).
Box 1 has four white marbles and two red marbles.
Box 2 has six white marbles and two red marbles.
A) Make a complete, condensed tree diagram for the experiment, including the outcomes and their probabilities.
B) What is the probability of at least one red marble?
$$\text { (Hint: } P \text { (at least } 1 \text { red } ) = 1 - P ( 0 \text { red } ) )$$