Prove that the sum of the probabilities of all possibilities in two independent. Events amount to certainty.
Q: Two events, A and B, are mutually exclusive and each have a nonzero probability. If event A is known…
A: Two events are said to be mutually exclusive events if they cannot occur at the same time. For two…
Q: r with a batting average of 0.26 bats 5 times in a game, and each at-bat is an independent event,…
A: Binomial distribution allows us to compute the probability of observing specified number of events…
Q: In an experiment, three people toss a fair coin one at a time until one of them tosses a head.…
A:
Q: If two cards are drawn without replacement from an ordinary deck, find the probabilities of the…
A: An ordinary deck of cards have 52 cards. There are 4 suits in 52 cards, i.e. hearts, clubs, diamonds…
Q: A company gives each worker a cash bonus every Friday randomly giving a worker an amount with these…
A:
Q: If two events are independent, then O the sum of their probabilities must be equal to 1 O the…
A: Two events are called independent events if one event occurs without affecting the occurrence of…
Q: For a certain airline, there is a 75% probability that a given flight will depart on-time, an 80%…
A: Provided information is ; A: given flight will depart on-time. P(A) : Probability that a given…
Q: Two events, A and B, are mutually exclusive and each has a nonzero probability. If event A is known…
A: Mutually Exclusive events: Events which cannot occurs together are called mutually exclusive events.…
Q: Jad is a mathematician with probability 0.5, a musician with probability 0.7, and is neither with…
A: Let being a mathematician be denoted by A and being musician be denoted by B. Then, the given…
Q: There are 6 passengers on the bus, and there are 6 remaining stops before the end of the route.…
A: Given that: Total number of passengers on the bus = 6 And there are 6 remaining stops before the end…
Q: A BASKET HAS 10 RED AND 7 GREEN BALLS. THREE SPILL OUT WITHOUT REPLACEMENT. fIND THESE PROBABILITIES…
A: From the provided information, Basket has 10 red balls and 7 green balls. Total balls in the basket…
Q: Which of the following is true? The sum of the probabilities of collectively exhaustive events must…
A: The probability is a chance, it can occur any outcome of the random experiment. The probability of…
Q: Jad is a mathematician with probability 0.5, a musician with probability 0.7, and i neither with…
A: P(A) = 0.5 P(B) = 0.7 P(A∩B) = P(A) + P(B) - P(A∪B) P(A∩B) = 0.5 + 0.7 -0.75 =0.45
Q: Prove that a pair of events A and B cannot be simultaneously mutually exclusive and independent. In…
A: 1] The probability of success being p for each experiment. 2] the experiments in different rooms…
Q: If the outcome of event A is not affected by event B, then events A and B are said to be…
A: Definition of independent events.
Q: A life insurance salesman finds that, of all the sales he makes, 70% are to people who already own…
A: Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…
Q: If a family has four children, is it more likely they will have - two boys and two girls (OPTION A)…
A: given data family has four children let x = No. of boys P(boy) =p =0.5 n = 4 p(x=X) = nxC pxqn-x…
Q: If A, B are mutually exclusive events, then the probability that A does NOT occur given that B…
A: if A and B are mutually exclusive events then A∩B=∅ i.e. P( A∩B)=0 let A¯ is complement of A. now,…
Q: When a customer enters a drugstore, the probabilities that he or she will have 0, 1, 2, or 3…
A: 1. Given: The probability of persons having 0 prescription is 0.55, 1 prescription is 0.30, 2…
Q: a bag contains 6 red marbles, 8 white marbles, and 5 blue marbles. You draw 4 marbles out at random,…
A: The number of marbles is 6+8+5=19.
Q: Jad is a mathematician with probability 0.6, a musician with probability 0.7, and is neither with…
A: To find: The probability that he is a ‘musician but not both.
Q: 1. The probability that Dan will go to work tomorrow is 0.3 and Jimmy does not go to work is 0.25.…
A: Introduction: Here we need to find probability that atleast one of them will go to work. For…
Q: A coin is loaded so that the probabilities of heads andtails are 0.52 and 0.48, respectively. If the…
A: Let H be event of heads and T be the event of tails. It is given that P(H)=0.52 and P(T)=0.48 It is…
Q: n a certain community, 25% of the families own a dog, and 20% of the families that own a dog also…
A: Given 25% of the families owns a dog 20% of the families that owns a dog also owns a cat 25% of all…
Q: If the probability of one event has no influence on the probability of the other then the events are…
A: If the probability of one event has no influence on the probability of other then the event are said…
Q: If only one of two or more events can occur they are considered non-mutually exclusive. Select…
A: We have given that If only one of two or more events can occur they are considered non-mutually…
Q: If event A and event B are as above and event A has probability 0.3 and event B has probability 0.1,…
A: The following information has been given: Event A has probability P(A)=0.3 Event B has probability…
Q: Amanda has 3 office assistants. If A is the event that at least 2 of them are men and B is the event…
A: Given data: The total number of assistants are n=3. The expression for the sample space of selecting…
Q: Prove that the sum of the probabilities of all possibilities in two independent events amounts to…
A:
Q: If the probability of a chance event is 0.82, it is more likely to happen than which of the…
A: You can add as many 0's on the end of a decimal and it will still equal to the same number, as long…
Q: A box contains 20 chocolates, but only two of them are the dark chocolate that somebody likes. When…
A: Theoretical Probability:Probability of an event is the number of outcomes favourable to the event,…
Q: In a country, 75% of the graduates are citizens,60% of the citizens graduates are employed while…
A: Given , 75 percent of the graduates are citizens ... Among them 60 percent of citizens are employed…
Q: When the events cannot happen at the same time are called____________. a. Mutually Exclusive b.…
A: Mutually Exclusive Events: Events are said to be mutually exclusive or incompatible if the happening…
Q: If the joint probability of neither of two events, A and B, occurring is 0.08, the probability of…
A:
Q: Suppose that the probability of event A is 0.3 and the probability of event B is 0.4. Also, suppose…
A: solution Solution
Q: One coin is tossed twice. Case A is the first shot coming in tails, case B is the second shot coming…
A: It was stated that a coin is tossed twice. Case A is the first shot coming in tails. case B is the…
Q: If two cards are drawn without replacement from an ordinary deck, find the probabilities of the…
A: Given: Two cards are drawn without replacement from an ordinary deck. Total cards in a deck=52…
Q: An ant is at one vertex of a square and needs to get to the opposite vertex (where there is food),…
A: Part (b) Given that, the predator prevent ant from passing with a probability of p. The various…
Q: A company gives each worker a cash bonus every Friday, randomly giving a worker an amount with these…
A: Given, The amount bonus and probabilities are, X 10 50 Total p(X) 0.9 0.1 1.0
Q: For customers purchasing a refrigerator at a certain appliance store, let A be the event that the…
A: Given : For customers purchasing a refrigerator at a certain appliance store, let A be the event…
Q: If two cards are drawn without replacement from an ordinary deck, find the probabilities of the…
A: Given- If two cards are drawn without replacement from an ordinary deck. To find- The probabality…
Q: If two cards are drawn without replacement from an ordinary deck, find the probabilities of the…
A: Given: Two cards are drawn without replacement from an ordinary deck. Number of face cards in a…
Q: Both are face cards B.) Both are aces C.) Both are clubs
A: Number of face cards( Jack, Queen, King) is= 12 Number of Aces is= 4 Number of clubs is= 13 Number…
Q: If two cards are drawn without replacement from an ordinary deck, find the probabilities of the…
A: Let we have two possibilities: A jack , then a ten or A ten , then a jack. Here the events are…
Q: What is the conditional probability that a family with two children has two boys, given they have at…
A: Solution: A family has two children. The sample space S is S = { BB. BG, GB, GG} n(S )= 4 Where…
Q: Two events are independent, and their probability are 0.75 and 0.25 respectively. What is the…
A: 2. Let A and B be two events. The two events are independent, and their probability are 0.75 and…
Q: Events whose probability of their intersection is the product of their individual probabilities and…
A: An event is said to be a complement of the other if the occurrence of one event completely rules out…
Q: Let us say that a certain bus and me arrived at a bus stop at a random time between 12 pm and 1 pm.…
A: Given Information: A bus and a person arrive at a bus stop at a random time between 12 pm and 1 pm.…
Q: If two cards are drawn without replacement from an ordinary deck, find the probabilities of the…
A: Given- Two cards are drawn without replacement from an ordinary deck. To find- The probabilities of…
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