2. Dice problems. Suppose I roll a dice two times in succession. a) What are the odds of getting snake eyes (only 1s)? b) What are the odds of getting either a 1 or a 4 on each toss of the dice? c) What are the odds of getting a total of 10?
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The probability of rolling a 1 on a single die is $\frac{1}{6}$. Since the two rolls are independent, the probability of rolling snake eyes is the product of the probabilities of rolling a 1 on each die. $$P(\text{snake eyes}) = P(\text{1 on first die}) \times Show more…
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