Question A fair die is tossed twice. Find the probability of getting at most 3 on the first tom and

Question

A fair die is tossed twice. Find the probability of getting at most 3 on the first tom and neither 3 nor 6 on the second toss. A couple plans to haw throe children. Construct a tree diagram and list the sample space. Find the probability that the family has no girls; at least one girl; either one girl or two boys. Conditional probability (Bayes' rule). In a certain college town, 50% of the boys and 80% of the girls are studying mathematics. The girls constitute 60% of the student body. If a student is chosen at random and a studying mathematics, determine the probability that the student is a girl.