Final answer:
To find the probability, use the binomial probability formula and calculate the probability that none of the 12 adults say cashews are their favorite nut.
Step-by-step explanation:
To find the probability that the number of adults who say cashews are their favorite nut, you can use the binomial probability formula. In this case, the probability of success (p) is 0.29, and the number of trials (n) is 12. Let's calculate:
P(X=k) = C(n,k) * p^k * (1-p)^(n-k)
where C(n, k) is the binomial coefficient.
P(0) = C(12,0) * (0.29)^0 * (1-0.29)^(12-0)
= 1 * 1 * (0.71)^12
= 0.017
Therefore, the probability that none of the 12 adults say cashews are their favorite nut is 0.017, or 1.7%.