Answer to Question #332713 in Discrete Mathematics for mohi

Question

Q NO.1 A sequence of 10 bits is randomly generated. What is the probability that at least one of these bits is 0? Q NO.2 What is the probability that a positive integer selected at random from the set of positive integers not exceeding 100 is divisible by either 2 or 5? Q NO.3 If you roll two dices. A: The Sum is at least 8. B: A double is rolled. Find, 1) P(A) 2) P(B) 3) P(B/A) Q NO.4 What probabilities should we assign to the outcomes H (heads) and T (tails) when a fair coin is flipped? What probabilities should be assigned to these outcomes when the coin is biased so that heads comes up twice as often as tails? Q NO.5 A bit string of length four is generated at random so that each of the 16-bit strings of length four is equally likely. What is the probability that it contains at least two consecutive 0s, given that its first bit is a 0? (We assume that 0 bits and 1 bit are equally likely.) Q NO.6 In a group of 8 students what is the probability that a. Nobody has a birthday on the same date.