The probability of happening of an event A is 0.5 and that of B is 0.3. if A and B are mutually exclusive events then probability of neither A nor B is

Q: To the right are the outcomes that are possible when a couple has three children. Assume that boys…

A: Solution

Q: Suppose a student is selected at random from 100 students where 30 are taking ME, 20 are taking EE,…

A:

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: The probability of two events A and B are 0.25 and 0.5 respectively. Probability of ther…

A: Introduction :

Q: The probability of being offered the first job is 0.25, and the probability of being offered the…

A: Given data: Let X be the number of jobs offered. The probability of being offered the first job is…

Q: If the probability that an event does no occur is 0.3 determine the probability that the event…

A:

Q: Suppose that it is equally likely for a child to be a boy or a girl. Suppose a parent tells you that…

A: Given information- We have given that it is equally likely for a child to be a boy or a girl.…

Q: Deborah is flying from Boston to Denver with a connection in Chicago. The Suppose you pick her up at…

A: From the given info, the probability of first flight on time and missing luggage is 1–0.8, and the…

Q: Select the most appropriate response. An event A will occur with probability 0.4. An event B will…

A: Given,         PA=0.4         PB=0.6         PA∩B=0.20      →If two events are independent…

Q: are the outcomes that are possible when a couple has three children. Assume that boys and girls are…

A:

Q: Suppose that the probability that Bob will go downtown is  45%.  Now, also suppose that if Bob goes…

A: Given, Suppose that the probability that Bob will go downtown is  45%.  Now, also suppose that if…

Q: If two events A and B are not disjoint, then the probability of their union

A:

Q: uppose you and your best friend are both in a group of 20 people, and five people are to be randomly…

A: Given that  Suppose you and your best friend are both in a group of 20 people. Randomly selected…

Q: Suppose that it is equally likely for a child to be a boy or a girl. Suppose a parent tells you that…

A:

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: An office has 2 fire detectors. Suppose that 3 out of every 100 fire detectors will fail to go off…

A: It is given that, 3 out of every 100 fire detectors will fail to go off during a fire.

Q: You fly from Detroit to Destin, Florida with a connection in Dallas. The probability that your…

A: Given that

Q: A probability of 0 means that an event cannot occur. O True O False

A: Given statement, A probability of 0 means event can not occur.

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: To the right are the outcomes that are possible when a couple has three children. Assume that boys…

A: From the given information, all the possible outcomes when a couple has three children are, {bbb,…

Q: Suppose E and F are two possible events that are independent of one another. Would it be true that…

A: GIVEN DATA : E and F events are independent of one another.     TO SHOW : The complements of E &…

Q: Assume that the probability of any newborn baby being a boy is , and that all births are…

A: 1 - (1/2)^3= 1- 1/8= 7/8. So probability that none of them are boys is 7/8.

Q: To the right are the outcomes that are possible when a couple has three children. Assume that boys…

A: Given : Possible outcomes of boy , girl when couple has 3 children are : Possible outcomes (n)=8…

Q: A commission of 3 people out of 5 women and 4 men working in a workplace will be formed. Which of…

A: To find the probability following rules will be used  :  Fundamental Principle of Multiplication :…

Q: Events A & B are mutually exclusive. Event a occurs with probability 0.1 and event B occurs with…

A: In question,  Given that, A and B are two mutually exclusive events where P(A) = 0.1 P(B) = 0.08

Q: 4) Event A has probability 0.3. Event B has probability 0.5. If A and B are disjoint, then the…

A: Disjoint events: For disjoint events, there is no element in common. Two events A and B are said to…

Q: n population the probility that a person likes to drink coffee is 0.62, the probability that a…

A: It is given that for a certain population the probability that a person likes to drink coffee is…

Q: Erik, Jordan, Adam, Myra, Gabriel, and Johanna have all been invited to a dinner party. They arrive…

A: Given that, 6 members are invited for a party and stated that  Adam arrives first and Erik arrives…

Q: Consider a family with 5 children. Assume the probability that one child is a boy is 0.5 and the…

A: Given information- We have given that a family with 5 children. We have given that the events "boy"…

Q: When two events cannot occur at the same time, they are said to be ?

A: Disjoint events:   Let A and B be any two events, if the events A and B are mutually exclusive or…

Q: Assuming that these two are Independent, what is the probability of thunderstorms on both Memorial…

A: Concept: If the probability of occurrence of one event is not affected by the probability of…

Q: Suppose that it is equally likely for a child to be a boy or a girl. Suppose a parent tells you that…

A: Let us denote B=boy and G=girl Given that at least 4 of the children are girls. So the possible…