The probabilities of the independent events A and B are 0.4 and 0.5 respectively

The probabilities of the independent events A and B are 0.4 and 0.5 respectively. Find the following probabilities:a) The probability of A and B occurring.b) The probability of A but not B occurring.c) The probability of A or B occurring.d) The probability of A or not B occurring.e) The probability of A occurring given that B has occurred.f) The probability of A occurring given that B has not occurred.