Two friends are taking an english class that has a monthly reading list. once a student chooses a book from the list, no other s
tudent can choose that book. if there are 3 mystery and 4 romance books left, what is the probability that the first friend will randomly select a mystery book and the second friend will randomly select a romance book?
Probability = Number of ways something can happen / Total number of outcomes; or: P = m / n If the first friend randomly selects a mystery book the probability is: 3 / ( 3 + 4 ) = 3 / 7. After that he leaves 2 mystery and 4 romance books. Probability that the second friend will randomly select a romance book is then : 4 / ( 2 + 4 ) = 4 / 6. And finally, the probability for all of that is: P = 3 / 7 * 4 / 6 = 2 / 7. Answer: The probability is 2 / 7.