Question

Your job is giving you a promotion and it will require you to move. You are told that you have a 33% chance to move to California and a 50% to move to Colorado. What is the probability that you will move to California or Colorado?

Answer 1

The probability of moving to California or Colorado is 83%, calculated by adding the probability of moving to California (33%) and the probability of moving to Colorado (50%).

Step-by-step explanation:

The probability that you will move to California or Colorado is found by adding the individual probabilities, assuming that the events are mutually exclusive, which means they cannot happen at the same time. This is similar to the example of Klaus's vacation choice where the probability of choosing either New Zealand or Alaska was the sum of the individual probabilities. In your case:

P(move to California OR move to Colorado) = P(move to California) + P(move to Colorado)

P(move to California) is given as 33%, or 0.33 in decimal form, and P(move to Colorado) is given as 50%, or 0.50 in decimal form. Therefore, you calculate the answer as follows:

P(move to California OR move to Colorado) = 0.33 + 0.50 = 0.83

This means there is an 83% chance that you will move to either California or Colorado.