Final answer:
The probability that both Tariq and Lucia get the flavor they want is 1/100.
Step-by-step explanation:
To find the probability that both Tariq and Lucia get the flavor they want, we need to multiply the probability of each event happening together. Let's assume the probability that Tariq gets the lemon flavor is P(Tariq lemon) = 1/10 (since there are 10 flavors in total and he wants lemon). Similarly, the probability that Lucia gets the coffee flavor is P(Lucia coffee) = 1/10. To find the joint probability, we multiply these two probabilities: P(both get desired flavor) = P(Tariq lemon) * P(Lucia coffee) = (1/10) * (1/10) = 1/100.
Therefore, the probability that both Tariq and Lucia get the flavor they want is 1/100.