Question

1. the vegetable display at a market has exactly 52 peaches and 34 plums. of these, 5 of the peaches are rotten, and 4 of the plums are rotten. you randomly choose a peach and a plum from the display. what is the probability that one of the fruits is rotten? 19.12% 21.38% 20.25% 1.13% clear all

Explanation:

Step1: Calcular probabilidades individuales

La probabilidad de que la pera sea podrida y la ciruela no sea es $\frac{5}{52}\times\frac{30}{34}=\frac{150}{1768}$.
La probabilidad de que la ciruela sea podrida y la pera no sea es $\frac{47}{52}\times\frac{4}{34}=\frac{188}{1768}$.

Step2: Sumar probabilidades

La probabilidad de que uno de los frutos sea podrido es $\frac{150 + 188}{1768}=\frac{338}{1768}\approx 0.1912 = 19.12\%$.

Answer:

19.12%