Answer Happy

3. An experiment consists of drawing one card from a well shuffled standard set of 52 cards and observing the color (red or black), rolling a die and observing the number of dots on the top face after it stops rolling, and flipping a coin and observing whether it is heads (with probability 0.6) or tails (with probability 0.4). The probability of observing 1 dot, 2 dots, 3 dots, 4 dots, 5 dots, and 6 dots respectively is 0.05, 0.1, 0.15,0.2, 0.25, and 0.25. Model the experiment as a combined experiment of three subexperiments. a) Determine all the outcomes of this combined experiment, b) write the probability of each outcome listed in part a) and show that all these probabilities add up to 1, and c) draw a tree diagram for the combined experiment.