each throw of an unfair die lands on each of the odd numbers 1, 3, 5 with probability c and on each of the even numbers with probability 2c. 1. find c. 2. suppose that the die is tossed. let x equal 1 if the result is an even number, and let it be 0 otherwise. also, let y equal 1 if the result is a number greater than three and let it be 0 otherwise. find the joint probability mass function of x and y . suppose now that 12 independent tosses of the die are made. 3. find the probability that each of the six outcomes occurs exactly twice. 4. find the probability that 4 of the outcomes are either one or two, 4 are either three or four, and 4 are either five or six. 5. find the probability that at least 8 of the tosses land on even numbers.