Question 5 Two independent events, A and B, are such that, P(A) = 0.7 and P(B) = 0.4, calculate: (i) P(An B) %3D (ii) P(A U B) A team of 5 people is to be formed from 4 men and 6 women. Find the number of possible teams if there are: (i) No restrictions. (ii) More women than men on the team.

Q: Given P(A and B) = 0.22, P(B) = 0.75, P(B|A) = 0.84, what is P(A)?

A: Given information- P(B) = 0.75 P(A∩B) = 0.22 P(B|A) = 0.84 P(B/A) is given by-

Q: If P(A) + P(B) = 0.9, P(A NB) = P(B NĀ) = 0.25 ,Then P(AN B) = %3D

A: It is given that, P(A) + P(B) = 0.9 P(A ∩ Bc) = P(B ∩ Ac) =0.25 We know that if A and B are two…

Q: Given P(A) = 0.037, find the probability of the complementary event.

A: Given that, P(A) = 0.037 To find the P(A').

Q: P(A) = P(B|A) = P(A and B) = ? 10 %3D 10 Answer: 13 %3D P(B) = 20 P(A) = P(A or B) = ? %3D Answer:…

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Q: (468)10=

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Q: Given P(A and B) = 0.02, P(B) = 0.80, P(B|A) = 0.73, what is P(A)?

A: Conditional probability formula P(B|A) = P(A and B) /P(A)

Q: A big private oil company must decide whether to drill in the Gulf of Mexico. It costs $1 million…

A: Let's delve deeper into the decision-making process of the oil company, exploring the intricacies of…

Q: = 0.40, what is P(A)?

A: Independent event- two events ( suppose A and B) are called to be independent events if the outcome…

Q: (257)8=.... Select one: (175)10 a. b. (170)10 (571)10 C.

A: The octal number system uses 8 as the base. The decimal number system uses 10 as the base.  In the…

Q: If P(A) = 0.5 and P(ANB) = 0.35, what are the possible values for P(B)? %3D %3D

A: Here use basic of dependent and independent events

Q: For two events a and b it is given p(a)=0.30 P(b)=0.65and p(a or b)=0.74 Calculate P(a and b)

A: Solution - Given that a and b are two events such that P(a)=0.30 P(b)=0.65   And. P(a or b)=0.74…

Q: If P(A) = 0.7, P(B) = 0.4 and P(A/B) = 0.28, then P(B/A) is %3D %3D Select one: a. 0.16 O b.0.48 c.…

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Q: (1 2 3 a) For a 1) give a321. 3 2

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Q: For two independent events, A and B, P(A) = .3 and P(B)= .5. a. Find P(ANB)=| b. Find P(A|B)=|

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Q: n(A U B) = 132, n(B) = 71, and n(AN B) = 8, what is n(A)? %3D %3D

A: We have given that n( A U B)=132 , n(B)=71 and n( A ∪ B)=8

Q: what is P(B)

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Q: Given P(E or F) = 0.18, P(E) = 0.40, and P(F) = 0.46, what is P(E and F)?

A: Solution-: Given: P(E or F)=0.18, P(E)= 0.40, P(F)=0.46  We want to find P(E and F)=?

Q: 5. It takes 1% yards of material to make one shirt. How many shirts can be made from 162 yards of…

A:

Q: At a certain college, 32% of the students are majoring in engineering, and 55% of the students are…

A: The percentage of students in engineering (major) is 32%. The percentage of female students is 55%.…

Q: (10 points) Let F = {{a,b}, {c, d}}. What are each of the following %3D (a) (2 points) UF (b) (2…

A: Given the set F

Q: What is the value of Σ(X – 2 )2 for the following scores? Scores: 3,6,9.

A: The values of X are given by 3,6 and 9. We have to calculate Σ(X – 2 )2

Q: When a fisherman lays a fishing net, he has a 10% chance of catching a fish. How many nets does he…

A: Given: X: Number of nets a fisherman need to lay in order to catch a fish. X~Geometric…

Q: Given P(A) = 0.25, P(B) = 0.28, and P(B|A) = 0.28, are A andB independent or dependent?

A: Conditions: Events A and B are independent, then  Otherwise, A and B are considered dependent

Q: If P (A) = 80%, P (A u B) = 0.95, and P (A nB) = 45%, then P (A n B̅) is

A: It is given that, P (A) = 80%=0.80, P (A u B) = 0.95, and P (A nB) = 45%=0.45

Q: Given P(B) = 0.29, P(A and B) = 0.27, P(A or B) = 0.48, what is P(A)?

A: Given, PB=.29PA and B=PA∩B=.27PA or B=PA∪B=.48 We have, PA∪B=PA+PB-PA∩B⇒   PA=PA∪B+PA∩B-PB…

Q: Given P(A) = 3/5 and P(A and B) = 1/5, find P(B|A). %3D 3/5 1/5 О 1/3

A:

Q: Given P(A) = 0.40, P(B) = 0.20, and P(A and B) = 0.10, what is P(A or B)?

A: From the provided information, P(A) = 0.40, P(B) = 0.20, and P(A and B) = 0.10

Q: Given P(E or F) = 0.60, P(E) = 0.20, and P(E and F) = 0.06, what is P(F)? %3D Your Answer: Answer

A: Probability

Q: If P( A) = .40, P( B) = .30, and P An = .15, then P( A/ B) is O .375 .12 .50 .045 A Moving to…

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Q: If p(A) = 0.11, p(B) = 0.15 and p(A and B) = 0.26, are A and B independent? %D

A:

Q: If P (A) = 0.5, P(B) = 0.5, and P(4 and B) = 0.4, find P(A or B). %3D P(4 or B) = I %3D

A: According to the given information, we have P(A) = 0.5P(B) = 0.5P(A and B) = 0.4

Q: For independent events A and B , P(A)=0.80 and P(B)=0.20, Find P(A| B)   0.8   0.2   0.3125…

A: Given  P(A)=0.80 P(B)=0.20

Q: Given P(B) = 0.30, P(A and B) = 0.15, P(A or B) = 0.43, what is P(A)?

A: Arrange to find P(A):

Q: If P (A)=0.5, P (B)=0.3, and A and B are mutually exclusive, find P (A or B). P(A or B) =

A: Given that  P(A)=0.5 , P(B)=0.3  A and B are mutually exclusive

Q: Given P(A|B) = 5 P(A|B9, P(A) = 0.09 and P(B) = 0.2 %3D %3D a) Find P(ANB) b) Find P(B|A) c) Are A…

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Q: College instructors who adopt this book are (we hope!) twice as likely to continue to use the book…

A: Consider the provided question, Let the problem be modeled as Markov chain with states Users (U) and…

Q: Try Again (d): Your answer is incorrect. According to past studies, 33% of gamers experience motion…

A: We have given that  Sample size n= 180 , favorable cases x=68 Sample proportion p^= x/n= 68/180…

Q: Find the indicated probability. Show solution А. Р(А) — 0.65, P(В) — 0.30, Р(AU B) — 0.75, Р(А N B)…

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Q: Given P(A and B) = 0.18, P(B) = 0.78, P(B|A) = 0.82, what is P(A)?

A: Given information- P (B) = 0.78 P (A∩B) = 0.18 P (B|A) = 0.82 P (B/A) is given by-

Q: If y = e2 then y = e² Select one: O True O False

A: We will check if the problem statement is true.

Q: In a computer instant messaging survey, respondents were asked to choose the most fun way to flirt,…

A: We have to find correct answer for p(D)``

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.