\fIdentical twins come from a single egg that split into two embryos, and fraternal twins are from separate fertilized eggs. Also, identical twins must be of the same sex and the sexes are equally likely, and sexes of fraternal twins are equally likely. If a pregnant woman is told that she will give birth to fraternal twins, what is the probability that she will have one child of each sex? Use the data table below to find the probability. Sexes of Twins boy/boy boy/girl girl/boy girl/girl Identical Twins Fraternal Twins The probability is. (Type an integer or a simplified fraction.)Suppose that E and F are two events and that P(E & F) = 0.3 and P(E) = 0.4. What is P(F|E)? P(FIE) = (Type an integer or a decimal. Do not round.)Suppose that A and B are independent events such that P(A) = 0.4 and P(B) = 0.6. Find P(A & B). P(A & B) = (Type an integer or a decimal. Do not round.)Find the probability by referring to the tree diagram on the right. 0 3 M P(MnA) = P(M)P(AIM) 07 Start 03 0.8 A B The probability is .(Type an integer or a decimal.)Find the probability by referring to the tree diagram on the right. P(B) = P(MnB) + P(NOB) 0.2 A MA 08 Start 0.2 09 A N B The probability is . (Type an integer or a decimal.)Find the probability by referring to the tree diagram on the right. P(MOB) D.& P(M|B) = P(MOB) + P(NnB) 03 Start 0.7 OS A 0 The probability is. (Type an integer or a decimal. Round to the nearest hundredth as needed.)A new, simple test has been developed to detect a particular type of cancer. The test must be evaluated before it is put into use. A medical researcher selects a random sample of 1,000 adults and finds (by other means) that 1% have this type of cancer. Each of the 1,000 adults is given the test, and it is found that the test indicates cancer in 96% of those who have it and in 1% of those who do not. Based on these results, what is the probability of a randomly chosen person having cancer given that the test indicates cancer? Of a person having cancer given that the test does not indicate cancer? Based on these results, what is the probability of a randomly chosen person having cancer given that the test indicates cancer? Round to three decimal places as needed