Final answer:
To find the probability, use the binomial probability formula with the given values.
Step-by-step explanation:
To find the probability of throwing a sum of 9 at least 8 times in 10 throws, we need to use the concept of binomial probability. Each throw of the dice can be treated as a binomial experiment, where the probability of getting a sum of 9 is calculated. The formula for binomial probability is:
P(X = k) = (nCk) * (p^k) * (1-p)^(n-k)
where n is the number of trials (10 in this case), k is the number of successful outcomes (8 or 9), p is the probability of success (getting a sum of 9), and nCk is the combination formula.
Using this formula, we can find the probability of getting a sum of 9 at least 8 times in 10 throws.