An independent research organization is trying to estimate the probability crop destroyed on fields. The types of events possible at the plant are Rain, Insect or Fertilizer. The research organization also knows that two or more types of events cannot occur simultaneously.
According to the studies carried out by the organization, the probability of a crop destroyed in case of a Rain is 20%, the probability of a crop destroyed in case of a Insect 50%, and the probability of a crop destroyed in case of a Fertilizer is 10%. The studies also showed the following;
The probability of a radiation leak occurring simultaneously with a Rain is 0.1%. The probability of a radiation leak occurring simultaneously with a Insect is 0.15%. The probability of a radiation leak occurring simultaneously with a Fertilizer is 0.12%. On the basis of the information available, answer the questions below:
1 What are the probabilities of a Rain, a Insect, and a Fertilizer respectively? 2 What is the probability of a crop destroyed? 3 Suppose there has been a crop destroyed for which the definite cause is not known. What is the probability that it has been caused by:
A Rain. B Insect. C Fertilizer.