Q2. Consider the following experiment: we toss a coin and throw a 6-faced die at the same time. The coin is biased such that the probability of getting a head is 0.7. Similarly, we know the die has a special design such that a. The probability of getting face 2 is twice that of getting face 1 b. The probability of getting face 3 is twice that of getting face 2 c. The probability of getting face 4 is twice that of getting face 3 d. The probability of getting face 5 is twice that of getting face 4 e. The probability of getting a face with odd numbers is twice that of getting a face with even numbers If we see the outcome of the die is an odd number, the reward is just the number shown on the face. Otherwise, the reward is twice the number shown on the face. Moreover, if the outcome of the coin is a head, the reward is 0.5. Otherwise, the reward is 1