Are the events A and B independent, as defined in class? In sequential coin flips: A = Heads on a coin flip; B = Tails on a second coin flip In sequential card draws without replacement:  A = Draw an Ace from a deck of cards; B = draw a King on a second draw

Q: Given that P(A) = 0.17, P(B) = 0.08, and P(A and B) = 0.0136, are events A and B independent?

A: To find that both are independent

Q: are events A and B independent?

A: For the events to be independent, we must have P(A and B) = P(A).P(B)

Q: Given that P(A) = 0.33, P(B) = 0.16, and P(A and B) = 0.0297, are events A and B independent?

A: Solution: From the given information, P (A) = 0.33, P (B) = 0.16 and P (A and B) = 0.0297.

Q: Given that P(A) = 0.42, P(B) = 0.04, and P(A and B) = 0.0168, are events A and B independent?

A: It is given that P(A)=0.42, P(B)=0.04, and P(A and B)=0.0168.

Q: Let A and B be events with P(A) =0.7, P(B) = 0.44, and P(B|4) = 0.8. Find P(A and B). P(4 and B) =

A:

Q: Given P(A) = 0.3 and P(B) = 0.4; if A and B are mutually exclusive events, compute P(A or B)

A:

Q: Given P(A) = 0.72, P(B) = 0.81, and P(A or B) = 0.66, are events A and B mutually exclusive?

A: Explained below

Q: Given P(A) = 0.47, P(B) = 0.41, and P(A or B) = 0.88, are events A and B mutually exclusive?…

A: Events A and B are mutually  exclusive when  Hence, Event A and B are mutually exclusive.

Q: Given that P(A) = 0.13, P(B) = 0.31, and P(A and B) = 0.0052, are events A and B independent? Yes,…

A:

Q: Given that (P(A)=0.25, P(B)=0.37, and P(A and B)=0.0925 are events A and B independent

A: According to the given information, we have P(A) = 0.25 P(B) = 0.37 P(A and B) = 0.0925

Q: Let A and B be events with P(A) = 0.8, P (B) = 0.4, and P (B|A) = 0.2. Fins P(A and B).

A: There are two events A and B given with probabilities such as PA=0.8, PB=0.4, and PB|A=0.2.

Q: Suppose the events B1 and B2 are mutually exclusive and complementary events, such that P(B1) = 0.75…

A: According to the given information, we have B1 and B2 are two mutually exclusive and complementary…

Q: 1. Give examples of three non-empty independent events. 2. Give examples of three non-empty events…

A: Let Aj be a countable collection of Lebergue measurable subsets ofRn.Then A=∩Aj is Lebergue…

Q: If A and B are independent events with P(A) = 0.35 and P(B) = 0.20, then, P(A ∪ B) =

A: We have given that two events A and B are independent. P(A) = 0.35 P(B) = 0.20 We have to find P (A…

Q: Let A, and A, be two events such that P[A] = 1/2. P[A2] = 3/5 and P[A2|A1] = 2/5 Then: %3D O PLA, n…

A: Solution: From the given information,

Q: 1) Let P(A) = 0.2, P(B) = 0.6 and P(A or B) =0.5. Are events A and B mutually exclusive? Why or why…

A: Thank you for posting the question. Since you have asked multiple question, we will solve the first…

Q: Suppose events A and B are NOT disjoint, and that P(A) = 0.3 and P(B) = 0.15. What is P(A or B)? 2.…

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

Q: Given that P(A) = 0.47, P(B) = 0.07, and P(A and B) = 0.0329, are events A and B independent? O Yes,…

A: No. They are not independent.

Q: Given P(A) = 0.092, P(B) = 0.011, and P(C) = 0.085, and that events A, B, and C are mutually…

A: P(A) = 0.092, P(B) = 0.011, and P(C) = 0.085 Events A, B, and C are mutually exclusive

Q: Given P(A) = 0.51, P(B) = 0.79, and P(A or B) = 0.66, are events A and B mutually exclusive?

A:

Q: Given that P(A) = 0.06, P(B) = 0.23, and P(A and B) = 0.0258, are events A and B independent? Yes,…

A:

Q: In parts (a) and (b), identify whether the events are Mutually Exclusive, Independent, or Neithe…

A: (a) If the probability of occurrence of one event is not affected by the probability of occurrence…

Q: Let A, B, and C be independent events with P(A)= 0.8, P(B)= 0.3, and P(C)=0.4 Find P(A and B and C).…

A: given A, B, and C be independent events  P(A)= 0.8, P(B)= 0.3, and P(C)=0.4 P(A and B and C ) = ?

Q: Given P(A) = 0.92, P(B) = 0.33, and P(A or B) = 0.40, are events A and B mutually exclusive?

A: Given Data: P(A) = 0.92 P(B) = 0.33 P(A or B) = 0.40

Q: Given P(A) = 0.141, P(B) = 0.130, and P(C) = 0.057, and that events A, B, and C are mutually…

A: P(A) = 0.141 P(B) = 0.130 P(C) = 0.057 Events A, B, and C are mutually exclusive i.e.…

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: Select the events that are dependent. A. Drawing a face card from a standard deck of 52 playing…

A: (a). In such situation the draw of another face card doesn't depend on the previous activity so this…

Q: Consider two events, A and B, where P(A) > 0 and P(B) > 0. If A and B are independent, then the…

A:

Q: Suppose A, B, and C are events so that P ( A ) = 0.2 , P ( B ) = 0.5 , P ( C ) = 0.3 , P ( A ∩ B )…

A: For the given probabilities, the Venn diagram is,

Q: Let A and B be events with P(4) =0.3, P(B) =0.73, and P(B 4) = 0.9. Find P(A and B). P(4 and B) =

A: Given data:

Q: If A and B are two mutually exclusive events and PLA) = P(B), then P(A)= %3D o 3

A:

Q: If A and B are independent events, with P(A) = 0.37 and P(B) =0.60, then P(A | B) is: a. 0.22 b.…

A: We have to solve given problem:

Q: Given P(A) = 0.13, P(B) = 0.02, and P(A or B) = 0.15, are events A and B mutually exclusive?

A: Given that  P(A)=0.13 P(B)=0.02 P(A or B)=0.15 Definition of Mutually Exclusive- Two events are said…

Q: Given P(A) = 0.08, P(B) = 0.26, and the fact that events A and B are independent,

A: Given P(A) = 0.08, P(B) = 0.26 the fact that events A and B are independent.

Q: Given P(A) = 0.14, P(B) = 0.55, and P(A or B) = 0.69, are events A and B mutually exclusive?

A:

Q: : If A, B, C are mutually independent events then A UB and C are also independent.

A: Answer: For the given data,

Q: Given P(A) = 0.27, P(B) = 0.19, and P(A or B) = 0.46, are events A and B mutually exclusive

A: Given,  P(A) = 0.27 P(B) = 0.19 P(A or B) = 0.46

Q: Prove that if two events, A and B, are mutually exclusive, then P(A | A U B ) = P(A) / ( P(A) + P(B)…

A: If two events are mutually exclusive, then the two events are disjoint event.In other words, if A…

Q: Given P(A) = 0.22, P(B) = 0.60, and P(A or B) = 0.82, are events A and B mutually exclusive?

A: Two events A and B are said to be mutually exclusive, if P(A and B) = 0.

Q: Suppose A, B, and C are events so that P ( A ) = 0.2 , P ( B ) = 0.5 , P ( C ) = 0.3 , P ( A ∩ B )…

A: Suppose A, B, and C are events, So that P ( A ) = 0.2 , P ( B ) = 0.5 , P ( C ) = 0.3 , P ( A ∩ B )…

Q: Given P(A) = 0.20, P(B) = 0.30, and P(A or B) = 0.50, are events A and B mutually exclusive?

A: Solution: Mutually exclusive events: Two events A and B are said to be mutually exclusive when the…

Q: Consider five mutually exclusive events, V, W, X, Y, and Z, respectively, where P(V) = 0.08, P(W) =…

A: Mutually Exclusive Events :  A and B are mutually exclusive events if they cannot occur at the same…

Q: Given P(A) = 0.25, P(B) = 0.38, and P(A or B) = 0.63, are events A and B mutually exclusive?

A: Mutually Exclusive Events: The events E and F are mutually exclusive events. That is, P(E and F)=0.…

Q: Given P(A) = 0.045, P(B) = 0.010, and P(C) = 0.084, and that events A, B, and C are mutually…

A: Given,P(A)=0.045P(B)=0.010P(C)=0.084and  A, B , C are mutually exclusivei.e…

Q: Given P(A) = 0.21, P(B) = 0.11, and P(A or B) = 0.23, are events A and B mutually exclusive?

A:

Q: Let A and B be events with P(A) = 0.7, P(B) = 0.3, and P(B|A) = 0.2. Find P(A and B).

A: If A and B are independent then P(A and B)= P(A n B) = P(A)*P(B) If A and B are not independent then…

Q: From the following events X and Y, which pair of events is mutually exclusive?

A: The events are said to be mutually exclusive if they can not be occur simultaneously.

Q: Given P(A) = 0.34, P(B) = 0.60, and P(A or B) = 0.24, are events A and B mutually exclusive?

A: We have given that- P(A) = 0.34 P(B) = 0.60 P(A or B) = 0.24 We know that two events are mutually…

Q: Given P(A and B) = 0.12, P(A) = 0.58, and P(B) = 0.44 are events A and B independent or dependent?

A: Two events A and B are said to be independent if P(A and B)=P(A)×P(B)