The two-way frequency table shows the results of a survey of two classes’ modes of transportation. A student from the survey is chosen at random.
Event A
is “the student rides a bus to school.”
Event B
is “the student is in Miss Taylor’s class.”
How can you use the two-way frequency table to tell that the events are dependent?
A. Show that P(B) equals 25 and that P(B given A) equals 310
B. Show that P(B)×P(A) and P(A and B) are both equal to 115
C. Show that P(B) and P(B given A) have a sum of 1
D. There is not enough information to determine whether the events are dependent.