Events A, B and C are disjoint. For the following event probabilities: P(A)=0.32, P(B)=0.30, P(C)=0.38, P(D|A)=0.060, P(D|B)=0.084, P(D|C)=0.057, calculate P(B|D). Your answer: O 0.024 O 0.829 O 0.144 O 0.899 O 0.030 O 0.054 O 0.691 O 0.381 O 0.589 O 0649

Q: Olivia is contemplating buying a laser printer. The probability that she will buy a printer…

A: Given data is : Probability that she she will buy a printer manufactured by Epson  PE=0.21…

Q: 47. Suppose A and B are two events with P(A) = 0.36, P(B) = 0.48, and the P(A or B) = 0.60. (a) Find…

A:

Q: Please solve the question attached

A: To find the expected profit, we need to use the expected value formula shown below.…

Q: Given two events G and H, the probabilities of each occurring are as follows: P(G) = 0.35; P(H) =…

A: First question: For an non null event A it known that P(A) + P(Ac) = 1.

Q: Events A and B are mutually exclusive with P(A) equal to 0.331 and P (A or B) equal to 0.727. Find…

A:

Q: If A and B are independent events with P(A)=0.1 and P(B)=0.7, find P(A AND B).

A: Introduction: Suppose X and Y are two events, with respective probabilities P (X) and P (Y). Denote…

Q: P(A) = 0.61, P(B) = 0.67, P(BU A) = 0.91 Find the following probabilities. P(AN B) = P(B|A) = P(A|B)…

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Q: An animal shelter has a 65% adoption rate for puppies. Of all puppies in the shelter, 75% live to be…

A:

Q: Given events G and H: P(G) = 0.47; P(H) = 0.22; P(H AND G) = 0.18. Part (a) Find P(H OR G). Part (b)…

A: Farmula used  P(A or B)=P(A)+P(B)-P(A and B)

Q: Using the diagram below, find these probabilities: 0.54 0.46 a. x Democrat b.y Republican 0.22 0.12…

A: D=democratR=republicanFrom the given tree diagram we know…

Q: Given P(A) = 0.86, P(B) = 0.08, and the fact that events A and B are independent, What is P(A and…

A:

Q: P(A)=0.64,P(B)=0.45,P(B∪A)=0.92 Find the following probabilities. P(A∩B) =  P(B|A¯) =  P(A¯|B) =

A: We have given that,  P(A)=0.64, P(B)=0.45, P(B∪A) or P(AUB) =0.92 Then,  We will find the following…

Q: Given P(A) = 0.32, P(B) = 0.44, and the fact that events A and B are independent, What is P(A and…

A: Solution: From the given information, P (A) = 0.32, P (B) = 0.44.

Q: Rhett owns a cupcake bakery and is analyzing his sales of cupcake delivery orders. Based on his…

A: Solution

Q: What would the expected value be if tickets were sold for $10 but there were 1000 tickets sold?…

A: To calculate the expected value (EV) for the raffle with the new parameters (tickets sold for $10…

Q: A customer for a home insurance policy owns a $200,000 home. The probability is 0.1% that the home…

A: The amount of compensation paid to the customer is The probability that the home will be totally…

Q: Given P(A)=0.31, P(B)=0.49 and P(A or B)=0.78, are events A and B mutually exclusive

A: According to the given information, we have P(A) = 0.31 P(B) = 0.49 P(A or B) = 0.78

Q: Suppose P(A) = 0.15, P(B) = 0.2, and P(A n B) = 0.06. Find the following probabilities. P(A n B) =…

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Q: First, ve need to test whether the two events are independent. Use X to denote the event described…

A: Given  8% of the population gave up doing laundry. PG=0.08

Q: U and V are mutually exclusive events. P(U) = 0.33; P(V) = 0.5. Find:  a.  P(U and V) =  b.…

A: Therefore,

Q: For two events A and B, P(A)=0.5 and P(B)=0.2. Then P(A or B) equals

A:

Q: Use the following probabilities to answer the question. Round to 4 decimal places. P(A) = 0.61, P(B)…

A: It is given that P(A) = 0.61, P(B) = 0.29 P(A and B) = 0.10

Q: For two events A and B, P(A)=0.24, P(B)=0.57, and P(A∩B)=0.32. a.Find P(A|B) b. Find P(B|A) c.…

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Q: U and Vare mutually exclusive events. P(U) = 0.21; P(V) = 0.6. Find: a. P(U and V) = b. P(UIV) = c.…

A: According to the given information, We know that, U and V are mutually exclusive events. P(U)=0.21…

Q: A customer for a home insurance policy owns a $200,000 home. The probability is 0.1% that the home…

A: A customer for a home insurance policy owns a $200,000 homeThe probability is 0.1% that the home…

Q: Given two events G and H, the probabilities of each occurring are as follows: P(G) = 0.5; P(H) =…

A: Given,P(G)=0.5P(H)=0.31P(H AND G)=0.09

Q: Leo is a very average golfer. The probability that he hits a bad shot at any time is 0.4,…

A: Given that p =0.4 , n=5,k=1

Q: Find the probability of the indicated event if P(E)= 0.25 and P(F) = 0.35. Find P(E or F) if P(E and…

A: Addition rule will applied here

Q: Given that P(A)P(A) = 0.62, P(B)P(B) = 0.27, and P(A∣B)P(A∣B) = 0.22, find the probabilities:…

A:

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.