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Pizza Time has collected data about customer pizza topping preferences. They have calculated that P(pepperoni) = 0.7, P(olives) = 0.6, and P(pepperoni or olives) = 0.8. Determine the P(pepperoni and olives)

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Answer:

Probability (Pepperoni and Olives) = 0.5

Step-by-step explanation:

Given

Probability of pepperoni

Probability of olives

Probability of Pepperoni OR Olive

We need Probability of Pepperoni AND Olive

There is a probability formula for "AND" and "OR" probability. That is:

[tex]P(A or B) = P(A) + P(B) - P(AandB)[/tex]

Let A be pepperoni and B be olives

So, we have:

P(A) = 0.7

P(B) = 0.6

P (A or B) = 0.8

Substituting in formula, we get our answer:

[tex]P(A or B) = P(A) + P(B) - P(AandB)\\0.8=0.7+0.6-P(AandB)\\0.8=1.3-P(AandB)\\P(AandB)=0.5[/tex]

Hence,

Probability (Pepperoni and Olives) = 0.5

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