Question

6. Mr. Beal surveys all the students in his Geometry class and identifies these probabilities.

The probability that a student has gone to United Kingdom is 0.23.
The probability that a student has gone to China is 0.48.
The probability that a student has gone to both United Kingdom and China is 0.14.

What is the probability that a student in Mr. Beal class has been to United Kingdom or China?

Answer 1

To find the probability that a student in Mr. Beal's class has been to either the United Kingdom or China, we need to calculate the union of the probabilities.

The probability of a student going to the United Kingdom is 0.23.
The probability of a student going to China is 0.48.

However, we need to adjust for the fact that the probability of going to both the United Kingdom and China is already included in those individual probabilities. So, we need to subtract the probability of the intersection (going to both countries) from the sum of the individual probabilities.

Probability of going to the United Kingdom or China = Probability of going to the United Kingdom + Probability of going to China - Probability of going to both (United Kingdom and China)

= 0.23 + 0.48 - 0.14

= 0.57

Therefore, the probability that a student in Mr. Beal's class has been to either the United Kingdom or China is 0.57.