Use the applet entitled Simulating the Probability of Rolling a 6 to simulate conditional probabilities. Begin by running the applet twice with n = 10, without resetting between runs. The data on your screen represent 20 rolls of a die. The diagram above the Roll button shows the frequency of each of the six possible outcomes. Use this information to find each of the following probabilities:

a. The probability of 6 given that the outcome is 5 or 6

b. The probability of 6 given that the outcome is even

c. The probability of 4 or 6 given that the outcome is even

d. The probability of 4 or 6 given that the outcome is odd