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A birthday party caterer counted the number of juice cups on the table. The cups contained different flavored juices and different shaped straws. $\newline$ The probability that a cup contains pineapple juice is $0.7$ , the probability that it contains a regular straw is $0.6$ , and the probability that it contains pineapple juice and contains a regular straw is $0.4$ . $\newline$ What is the probability that a randomly chosen cup contains pineapple juice or contains a regular straw? $\newline$ Write your answer as a whole number, decimal, or simplified fraction.

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Find probabilities using the addition rule

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Q. A birthday party caterer counted the number of juice cups on the table. The cups contained different flavored juices and different shaped straws.

\newline

The probability that a cup contains pineapple juice is

0.7

, the probability that it contains a regular straw is

0.6

, and the probability that it contains pineapple juice and contains a regular straw is

0.4

.

\newline

What is the probability that a randomly chosen cup contains pineapple juice or contains a regular straw?

\newline

Write your answer as a whole number, decimal, or simplified fraction.

Given Probabilities: $P(\text{pineapple juice}) = 0.7$ , $P(\text{regular straw}) = 0.6$ , $P(\text{both}) = 0.4$ .
Addition Rule: Use addition rule: $P(A \text{ or } B) = P(A) + P(B) - P(A \text{ and } B)$ .
Calculate Probability: Calculate: $P(\text{pineapple juice or regular straw}) = 0.7 + 0.6 - 0.4$ .
Final Calculation: Do the math: $0.7 + 0.6 = 1.3$ , $1.3 - 0.4 = 0.9$ .

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