Five hundred students are interviewed about their ways to get to school. The results are summarized in the table.

	bus	car	other	total
middle school	124	38	5	167
high school	136	185	12	333
total	260	223	17	500

Selectallthe statements that must be true about a student chosen at random fromthose interviewed.

A

The probability that the selected student used the bus to get to schoolunder the condition that the student is in middle school is

260500260500

.

B

The probability that the selected middle school or high school student used a car to get to school is

223500223500

.

C

The probability that the selected student used a car to get to school or is a middle school student is

390500390500

.

D

The probability that the selected student used a car or bus to get to school under the conditionthat the student is in high school is

321333321333

.

E

The probability that the selected student is in middle school under the condition that the student takes the bus to school is

124167124167

.

F

P(bus | middle school)>P(bus | high school)P(bus | middle school)>P(bus | high school)

G

P(car)=38500P(car)=38500

4