Question: 1) Suppose that two fair six-sided dice are tossed simultaneously, and the sum of the two faces facing upward is recorded. Determine what the theoretical

1) Suppose that two fair six-sided dice are tossed simultaneously, and the sum of the two faces facing upward is recorded. Determine what the theoretical probability distribution is using the following table.

Sum 2 3 4 5 6 7 8 9 10 11 12
Outcome(s)
Probability

2) Consider the probability distribution from number 1.

a) Find the probability that the sum is 5.

b) Find the probability that the sum is 7 or 10.

c) Find the probability that the sum is between 8 and 11.

d) Find the probability that the sum is a prime number.

e) Find the probability that the sum is less than 2.

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