At Patty the panda's pizza parlor, the possible pizza toppings are pesto, pepperoni, peppers, and pineapple, and the possible desserts are pumpkin pie, powdered-sugar pretzels, and papaya popsicles. If Prajwal the porcupine, Petunia the peacock, and Pete the parakeet each randomly choose a subset of the pizza toppings and a dessert, what is the probability that at least one of them picks pineapple, and at least one of them picks pumpkin pie?
What is the probability that at least one of them picks pineapple, and at least one of them picks pumpkin pie?
The probability that at least one of them picks pineapple is \(\color{blue}\frac{1}{4}\cdot 3 =\frac{3}{4}\ ,\)
the probability that at least one of them picks pumpkin pie is \(\color{blue}\frac{1}{3}\cdot 3=1\ .\)
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