During the cold war, someone from the government asked a famous mathematics professor if he could them figure out the probability of a nuclear war between the united states and the soviet union. the professor said, "that's an absurd question." can you explain why he said that?
The question asked is absurd because to find the probability we should know the number of favorable cases and the total cases but in the given question "the probability of a nuclear war between the United States and the Soviet Union", we do not know the favorable cases and the total cases, therefore, it would be impossible to find the probability here.
The formula for finding the probability is:
Therefore, the given question by the government is absurd.
Let me point out that he could have thought that no sane leader of a country would unleash weapons that would completely destroy all of us - that such a morality would be impossible to imagine, and in the professor's case, put a number to.
Further, there are not an infinite number of outcomes. There are only 2. Either they will go to war, or they will not. If they do, that is unfavorable. If they do not that is unfavorable. The wording is very poor.
I'll pick D, but I do it with great hesitation. I don't think there is a good answer to this.
The correct option is
D. The professor is correct because neither the number of favorable outcomes nor total outcomes can be determined for this event.
The probability is how likely an event can happen. To find the probability we need to use the below formula:
In the given, neither we given outcomes which are favorable to the happening of nuclear war, nor we are given outcomes which are total outcomes for the given experiment. Therefore, the Professor is correct because neither the number of favorable outcomes nor the total outcomes can be determined for this event.