To find the answers, let's first analyze the given data:
- Paris: 64 travelers
- London: 89 travelers
- Dublin: 24 travelers
- Other travelers: 43, 31, 76, 78 (we can assume these are travelers who did not go to any of the mentioned cities)
Total Number of Travelers Surveyed
Total = Travelers to Paris + Travelers to London + Travelers to Dublin + Other Travelers
Total = 64 + 89 + 24 + 43 + 31 + 76 + 78
Total = 64 + 89 + 24 + 43 + 31 + 76 + 78 = 405
Total number of travelers surveyed: 405
How Many People Traveled to Dublin
People who traveled to Dublin: 24
How Many People Surveyed Traveled to Paris and Dublin
Assuming that travelers were surveyed individually without overlap, the number of travelers who traveled to both Paris and Dublin is not explicitly given in the data. Therefore, we cannot determine a specific number based on the provided information.
Travelers who traveled to both Paris and Dublin: not specified
Probability of Picking a Traveler Who Traveled to Paris and London
Total travelers to Paris = 64
Total travelers to London = 89
Assuming these two groups have no overlap (i.e., each traveler is counted in one city only):
Total traveler count = 64 + 89
Total = 153 travelers who went to either Paris or London
Probability of picking someone who traveled to either Paris or London:
Probability = (Travelers to Paris + Travelers to London) / Total Travelers
P(Paris or London) = 153 / 405
Probability of picking a traveler who traveled to either Paris or London: 153/405
Probability of Picking a Traveler That Went to Paris, London, and Dublin
There is no specific overlap data provided. If we again assume no overlaps, the number of travelers going to all three countries is indeterminate. The simplest interpretation without additional data would be to assume no overlap:
Probability = (travelers to Paris + travelers to London + travelers to Dublin) / Total Travelers
P(Paris, London, or Dublin) = (64 + 89 + 24) / 405
P(Paris, London, or Dublin) = 177 / 405
Probability of picking a traveler who traveled to Paris, London, and Dublin: 177/405 (if taken collectively)
Probability of Picking a Traveler Who Did Not Go to Paris, London, or Dublin
To find this, we subtract those who went to Paris, London, and Dublin from the total number:
Total = 405 travelers
Travelers to Paris, London, or Dublin = 177 (as calculated before)
Travelers who did not go to any of these cities = Total - (Travelers to Paris, London, or Dublin)
= 405 - 177 = 228
Probability = (Travelers not to Paris, London, or Dublin) / Total Travelers
P(Not to Paris, London, or Dublin) = 228/405
Probability of picking a traveler who did not go to Paris, London, or Dublin: 228/405
Summary of Answers
- Total travelers surveyed: 405
- People traveled to Dublin: 24
- Travelers who traveled to Paris and Dublin: not specified
- Probability of picking a traveler who traveled to Paris and London: 153/405
- Probability of picking a traveler that went to Paris, London, and Dublin: 177/405
- Probability of picking a traveler that did not go to Paris, London, or Dublin: 228/405