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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