Week 7 - Ics 6d Questions And Answers 100% Verified A+ Guaranteed

Two 6-sided dice are rolled. Enter the probability that one die comes up with an even number and the other with an odd number. {Ans: 1/2 The set of possible outcomes of the event is: { (1, 2), (1, 4), (1, 6), (3, 2), (3, 4), (3, 6), (5, 2), (5, 4), (5, 6), (2, 1), (2, 3), (2, 5), (4, 1), (4, 3), (4, 5), (6, 1), (6, 3), (6, 5) }. There are 18 possible outcomes. The sample space for the event that one die comes up with an even number and the other with an odd number is: S={1,2,3,4,5,6}×{1,2,3,4,5,6} There are 36 possible outcomes in the sample space. The probability for the event that one die comes up with an even number and the other with an odd number is: p(E)=|E|/|S|=18/36=1/2}After proving a bijection from the set of 5-bit strings with exactly two 1's to 2-subsets of {1,2,3,4,5}, we can find the size of the first set. How big is the set? -- what is the number of ways of selecting an r-subset from a set of size n? express as n choose r {Ans: Since the mapping is a bijection, (# of 5-bit strings