A and B are independent events. If Pr(A n B) = 0.16 and Pr[A] = 0.2 what is Pr[B]?

Q: A and B are independent events. If Pr(A∩B)=0.18 and Pr[A]=0.3 what is Pr[B]?

A: Independent events : The event A and event B are independent if ,  P( A∩B ) = P( A )×P( B )

Q: Suppose P(E) = 0.3, P(F) = 0.5, and P(E or F) = 0.7. Are the events E and F are mutually exclusive?…

A: It is given that P(E) = 0.3 and P(F) = 0.5.P(E) + P(F) = 0.3+0.5 = 0.8.

Q: Suppose that events E and F are independent, P(E) = 0.3, and P(F) = 0.7. What is the P(E and F)? The…

A:

Q: If A and B are independent events with P(A) = 0.4 and P(B) = 0.6, then P(AnB)=

A: A and B are independent events  P(A) = 0.4  P(B) = 0.6

Q: A and B are events such that P(A) = 0.4 and P(B| A) = 0.7. Find P(A&B).

A: The formula for dependent event P (A and B) is given below:

Q: If A  and   B    are independent events with    P(A)=0.24    and    P(B)=0.73  Calculate and find…

A:

Q: 1. Determine the following events. a. E-(not D) b. F-(A & D) c. G= (A or D) d. H= (B or C)

A: 5.1 a. The event D is defined as the student selected is over18. Also, event E = (not D). The event…

Q: A and B are independent events. If Pr[A]=0.5 and Pr[B]=0.7, what is Pr[A∩B′]?

A:

Q: If A and B are independent events such that P(A) = 0.4 and P %3D

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

Q: assume that Pr[A∪B]=0.6 and Pr[A]=0.2 (1) What is Pr[B] if A and B are independent events?

A: Since A and B are independent event, so pr(A∩B)= pr(A)pr(B).

Q: A and B are independent events. If Pr[A]=0.5 and Pr[B]=0.5, what is Pr[A∩B′]?

A: Given, Pr(A) = 0.5 Pr(B) = 0.5 To calculate PrA∩B'

Q: Let E and F be independent events with P(E) = 0.2 and P(F) = 0.2. What is the probability that at…

A: Solution: From the given information, E and F are independent events, P(E) = 0.2 and P(F)= 0.2.

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: Suppose A and B are dependent events and P(B | A)=0.4, P(ANB)=0.1, P(B')=0.62. Find P(A U B).

A: Consider that A and B are two dependent events.

Q: A and B are independent events. If Pr(A intersect B)= 0.32 and Pr[A]= 0.4 what is Pr [B]?

A: Given Data: The probability of A intersect B is: PrA∩B=0.32 The probability of A is: PrA=0.4 Event A…

Q: Question * For two independent events A and B, if P(A OB) = 0,049 and P(A) = 10P(B), then P(A) is…

A: We have given that,  We have two independent events A and B and P(A∩B) = 0.049 and P(A) = 10P(B)…

Q: According to Jane, two particular events happened at the same time. T/F: According to Penny, these…

A: 3. To check whether the information is true or not.

Q: 7-The probability that the event P(E) will accur is between a- 0<P(E) <1 b- 0≤P(E) ≤1 C- 0≤P(E) <1…

A:

Q: Suppose that A and B are events for which P(A) =0.2, P(B)=0.3, and P(A ∩ B)=0.08. find each of the…

A: It is given that A and B are two events. P(A) =0.2 P(B)=0.3 and P(A ∩ B)=0.08

Q: Suppose that A and B are events such that P(A) = 2/7 and P(A&amp;B) = 3/25. Determine P(B| A).

A:

Q: (a) Two independent events, A and B, are such that, P(A) = 0.7 and P(B) = 0.4, calculate: (i) P(An…

A: We have to solve given problem:

Q: If A and B are independent events with P(A)=0.9 and P(B)=0.6, find P(A AND B).

A: Given that A and B are independent events. P(A) = 0.9 P(B) = 0.6

Q: Smoking excessively and having lung cancer are.. O A. independent events. O B. not known. O C.…

A: An event is a subset of the sample space. Sample space consist the set of all possible outcomes and…

Q: (c) State an event which is (i) complementary with G; (ii) mutually exclusive with M.

A: Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…

Q: A and B are events such that P(A) = 0.2, P(B) = 0.6, and P(A&amp;B) = 0.1. Find P (A or B).

A: Given: P(A) =  0.2, P(B) = 0.6 and P(A and B) = 0.1

Q: Let A and B be two events such that P(A) = 1/6 While P(A or B) = 1/2. Let P(B) = P. For what values…

A: P(A or B)= P(A)+P(B)-P(A and B) For A and B to be independent P(A and B)=P(A).P(B) Therefore, P(A or…

Q: Compute the probability of each of the following events (i) X <1 1/2 (ii) XY is even

A:

Q: Given A and B are independent events, with P(A) = 0.50 and P(B) = 0.30. Find P(An B)

A: Given: P(A) = 0.50 P(B) = 0.30

Q: If A and B are independent events with P(A)=0.9 and P(B)=0.8, find P(A AND B).

A: It is given that , A and B are the two independent events &amp; their probabilities is P(A) = 0.9…

Q: Q and R are independent events. P(Q) = 0.4 and P(R) = 0.23. Assuming that find events A and B arise…

A: From the given information, Q and R are independent events. That is, P (Q) =0.4,  P (R) =0.23 Since,…

Q: Let A and B be events such that P (A) = 4/10 and that P (A∪B) = 7/10  Find the probability of B…

A:

Q: A and B are independent events. If Pr(A∩B)=0.4 and Pr[A]=0.5 what is Pr[B]Pr[B]?

A: It is given that, P(A)=0.5, P(A and B)=0.4.

Q: Suppose that events E and F are independent, P(E) = 0.4, and P(F) = 0.6. What is the P(E and F)? The…

A: The provided information are: P(E)=0.4 P(F)=0.6 The events are independent events to calculate P(E…

Q: A and B are independent events. If Pr[A]=0.3 and Pr[B]=0.5, what is Pr[A∩B′]?

A: Since the events A and B are independent, the events A and are also independent.

Q: If A and B are two events such that P(A) = 0.3 and P(B) = 0.6, then P(A|B) = ____

A: We have given that,  A and B are two events and P(A) = 0.3 and P(B) = 0.6, then, We will find P(A|B)…

Q: Consider three independent events, A1,A2,A3, and let Pi = P(Ai) for i = 1,2,3. Express the…

A: # Given : events A1,A2,A3 with probability P1,p2,p3 then to find probability that at least one of…

Q: A and B are independent events such that P(A) = 0.3 and P(B) = 0.6. Find P(A&amp;B).

A:

Q: A and B are independent events. If Pr[A]=0.3 and Pr[B]=0.7, what is Pr[A∩B′]?

A: From the provided information,

Q: If A and B are dependent events such that P(A) = 5/8  and P(B|A) = 3/7, find P(A ∩ B).

A: Given data, P(A) = 5/8   P(B|A) = 3/7 P(A ∩ B)=?

Q: Let E and F be independent events with P(E) = 0.15 and P(F) = 0.2. What is the probability that at…

A: Given: PE=0.15PF=0.2 E and F are independent events, so: PE∩F=PE×PF=0.15×0.2=0.03

Q: Suppose that E and F are two events and that P(E and F) = 0.2 and P(E) = 0.5. What is P(FJE)? P(FJE)…

A: Given: P(E and F) = 0.2 P(E) = 0.5

Q: For this problem, assume that Pr[A∪B]=0.85 and Pr[A]=0.5Pr[A]=0.5. What is Pr[B] if A and B are…

A:

Q: Suppose that events E and F are independent, P(E) = 0.3, and P(F) = 0.9. What is the P(E and F)? The…

A: The union and intersection probabilities of two events A and B are related by the following formula:…

Q: Suppose that events E and F are independent, P(E)= 0.4, and P(F)=0.7. What is the P(E and F)? The…

A:

Q: If A and B are independent events with P(A)=0.6 and P(B)=0.2, find P(A AND B).

A: P(A) = 0.6 P(B) = 0.2

Q: Let A and B be two mutually exclusive events of an experiment, and suppose Pr(A) =0.4 Pr(B) =0.5.…

A: Given A and B are mutually exclusive events of an experiment.Pr(A)=0.4Pr(B)=0.5

Q: Let A and B be two events such that P(A) = 1/6 While P(A or B) = 3/8. Let P(B) = P. For what values…

A: Given data, P(A) = 1/6  P(A or B) = 3/8 P(B) = P p=?

Q: Consider events A and B that are independent. Let P(A) = 0.2 and P(B) = 0. probability that both…

A: Events A and B are independent. P(A)=0.2 P(B)=0.1