For any three events A, B and C P ( A U BUC) = P(A) + P (B ) + P ( C ) – P ( A OB)-P( BnC) -P(CnA)+ P (A BnC)

Q: Let A and B be events with P(A) = 0.5 and P(A∩Bc) = 0.4. For what value of P(B) will A and B be…

A: P(A)=0.5 and P(A⋂Bc)=0.4. The events A and B are independent, if P(A⋂B) = P(A) P(B).

Q: It is known that P(AB)=0.45, P(B)=0.90 and the events A and B are independent.                Find…

A: Independent events are events that do not affect the outcome of subsequent events.

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 that A, B are two independent events, with P(A) = 0.3 and P(B) = 0.4. Find P(A and B)

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 mutually exclusive events with P (A) = 0.30 and P (B) = 0.40, then P (A or B) is:

A: GivenP(A)=0.30P(B)=0.40A and B are mutually exclusive

Q: Example 2.3.11 Show that for any two events A and B, P(AN B) s P(A) s P(A U B) s P(A) + P(B) nned…

A:

Q: If A is the complementary event of A, P(A ) = 1 – P(A)< 1.

A:

Q: For two independent events A and B, if P(A O B) = 0.0048 and P(B) = 3P(A), then P(A) is equal to:…

A: According to the given information, we have Events A and B are independent events such that,…

Q: If A and B are mutually exclusive events with P(A) = 0.295, P(B) = 0.32, then P(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: If X and Y are mutually exclusive events with P(X) = 0.295, P(Y) = 0.32, then P(X/Y)=?

A: Given X and Y are mutually exclusive events P(X) = 0.295, P(Y) = 0.32 If X and Y are mutually…

Q: Q2. Two events A and B are said to be dependent if and only if:

A: Here use basic of dependent events

Q: - For any two events A and B; P ( ACO B) =P (B)-P (AOB)

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: If B CA and A and B are two events such that P (A) = 3 P (B) and A UB = S find P (B) ?

A: Answer: For the given data,

Q: For two events ,A and B,P(A)=0.4, P(B)=0.2 and ,p(A|B)=0.6 Find a)p(A ∩B) b)p(B|A) c)p(B,|A)

A:

Q: For two events A and B, P(A) = 0.7 and P(B) = 0.4. (a) If A and B are independent, then Р(A n B) %3D…

A: We have to find given probability.

Q: For any two events A and B; P (AUB) = P (A) + P (B) – P ( A nB) %3D

A:

Q: Suppose that A and B are events such that P(A) = 1/3, P(B) = 1/2 and P(A ∪ B) = 5/6. Find (a) P(A ∩…

A:

Q: The P ( A ) = 0.16 and the P ( B ) = 0.16 . Events A and B are mutually exclusive. What is the P (…

A: Two events are said to be mutually exclusive, if they cannot both occur at the same time. Here A,B…

Q: 3 b. X and Y are two events, P(Y)==, P(X|Y)=, and PYoX 10 %3D %3D Find P(XnY) and P(X).

A: Given P(Y) = 35, P(X/Y) = 23     and   PY ∩ X = 310

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

A:

Q: If E and F are independent events with P(E) =0.4 and P(E or F) = 0.6,then find P(F).

A: It is given that E and F are independent events. The given probabilities are PE=0.4  and PE or…

Q: If A and B are two independent events with P(A) = 0.15 and P(B) = 0.4, then P(AUB) is

A:

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: 2. If A and B are mutually exclusive events and P(A) = 0.3 and P(B) = 0.5, find a.) P(A U B) b.) P…

A: Given  A and B are mutually exclusive events and P(A)=0.3 and P(B)=0.5, Find a).P(AUB)b).P(A)'…

Q: Suppose that AA and BB are two independent events for which P(A)=0.18 and P(B)=0.8 . Find each of…

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

Q: I O 9. Solve the problem for the compound events. Super Sandwiches offers 4 kinds of breads, 3 kinds…

A:

Q: AA and BB are independent events. If Pr(A∩B)=0.28 and Pr[A]=0.4, what is Pr[B]?

A:

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: For two events A and B, P(A) = 0.6 and P(B) = 0.3. (a) If A and B are independent, then P(A|B) = P(A…

A:

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

A: If A and B are two independent events then:

Q: if a and b are two events with p(a)=0.5 and p(a and b)=0.1, then P(BIA)=

A: Assume, A and B be any two events, P(A) denotes the probability of happening of event A and P(B)…

Q: Let A and B be two events such that P (A ∪ B) = 0.6 and P (A ∪ Bc ) = 0.8 Find P (A).

A:

Q: Suppose that C and D are mutually exclusive events such that P(C) = 0.14 and P(D) = 0.32. Determine…

A: Given, P(C) = 0.14  P(D) = 0.32  P(C or D)=?

Q: If two events A and B are not mutually exclusive, then P(A U B) can be computed by the formula P(A U…

A: Given that A and B are not mutually exclusive. So it will roughly look like:

Q: Suppose A and B are events with P(A) = 0.3, P(B) = 0.65, and P(B|A) = 0.6. Find the value of P(A or…

A:

Q: Suppose that the events A, B and C are mutually independent with  P(A) = 1/2 , P(B) = 1/3, P(C) =…

A: Given A,B, and C are mutually independent P(A) = 1/2 P(B) = 1/3 P(C) =  1/4

Q: AA and BB are independent events. If Pr[A]=0.3Pr[A]=0.3 and Pr[B]=0.5Pr[B]=0.5, what is…

A:

Q: For two events A and B, suppose P(A)=0.6, P(B)=0.2, and P(A|B)=0.7, then P(A U B)= __________.…

A:

Q: IHA and B are mutually exclusive events with P(A) = 0.40 and P(B) = 0.20, then PAIB) is: 0.5 0.4…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: If E and F are mutually exclusive events with P(E) = 0.11 and P(F) = 0.38, then the value of P(EUF)…

A: Given that P(E) = 0.11, P(F) = 0.38

Q: Show that for two events A and B, any P(A N B) s P(A) s P(A U B) s P(A) + P(B)

A:

Q: For any event A, P (A U Ã) =1 True or false

A: for any event A, A¯  is complement of A. then A¯∩A=∅

Q: Show that for any events A and B, P (A ∩ B) ∪ (A ∩ B) = P(A) + P(B) − 2P(A ∩ B)

A: Given : A and B be the any events

Q: suppose two events A and B are independent, with P(A) = 0 and P(B) = 0. by working through the steps…

A: 1)   Condition for Independence:   If A and B are independent events, then P(A and B)=P(A)*P(B).…