Determine the probability of the following events:An English major failed mathematics, given that he or she passed biology.

4.155 The English majors at a certain university revealed the following information: 10 percent of them failed mathematics, 20 percent failed biology, and 5 percent failed both mathematics and biology. Determine the probability of the following events:An English major failed mathematics, given that he or she passed biology.The student passed biology, given that he or she passed mathematics.The student passed mathematics and it is known that he or she failed biology.d)         The student passes both courses