Question

at starbucks, 70% of customers buy a coffee drink, 10% of customers buy food, and 20% buy both a coffee and food. use this information to answer questions 3 and 4. 3. event a = coffee drink event b = food what does p(a ∪ b) mean for this problem? explain in words, not math. 4. what is the probability that a randomly chosen customer buys either a coffee drink or food? (hint: convert to decimal)

Explanation:

1. $P(A\cup B)$ represents the probability that a customer at Starbucks buys either a coffee drink or food (or both).
2. Use the formula $P(A\cup B)=P(A)+P(B)-P(A\cap B)$. Given $P(A) = 0.7$, $P(B)=0.1$ and $P(A\cap B)=0.2$. Substitute the values: $P(A\cup B)=0.7 + 0.1- 0.2=0.6$.

Answer:

1. The probability that a customer buys either a coffee drink or food (or both).
2. 0.6