All thirty students in Maria's class speak English. Six of these speak Mandarin, another two Japanese and another four Russian.What is the probability that a student selected at random speaks two languages?

In a certain school, 17 percent of the students are enrolled in a psychology course, 28 percent are enrolledin a foreign language course, and 32 percent are enrolled in either a psychology course or a foreign languagecourse or both. What is the probability that a student chosen at random from this school will be enrolled inboth a foreign language course and a psychology course?(A) 0.45(B) 0.32(C) 0.20(D) 0.13(E) 0.05

There are 30 students in Rakim’s math class. The teacher randomly selects students one at a time to go to the board to complete a problem. The teacher selects each student once. Rakim is not selected for the first 5 problems. What is the probability that Rakim is selected to go to the board next?

There are 2 different German courses, 4 different Spanish courses and 3 different Japanese courses.Answer Q1-2.Q1 Peter wants to take a language course. How many ways can Peter choose to take?

Of 162 students honored at an academic awards banquet, 48 won awards for mathematics and 78 won awards for English. There are 14 students who won awards for both mathematics and English. A student is selected at random for an interview. What is the probability that the student won an award for English or mathematics? Express your first answer as a fraction in simplest form.  Round your percent answer to the nearest tenth.  The probability that the student interviewed won an award for English or mathematics is , or about $\%$%​ .

In a class of 26 students, 5 are female and 12 have an A in the class. There are 3 students who are female and have an A in the class. What is the probability that a student who has an A is a female?