Question

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).

Answer 1

We are given that,

P(p)=0.7, P(o)=0.6, and, P(p⋃o)=0.8.

Required Probability=P(p⋂o).

Recall that, P(p⋃o)=P(p)+P(o)-P(p⋂o).

Substituting the given values, we get,

0.8=0.7+0.6-P(p⋂o).

∴ P(p⋂o)=0.7+0.6-0.8=0.5.