A fair coin is tossed three times. Let R, S and T be three events such that R:maximum one coin shows tail, S: all coins show Heads, T: at most two coins show Heads. Find O P(RNS) OA. 1/16 OB. None of these OC. 0.87 OD. 3/8 OE. 0.36

Q: A and B are two events such that P(A) = 0.4 and P(AU B) = 0.7 Find the value of P(B) and P(A|B) if A…

A: We have given that,  If A and B are two events which mutually exclusive with P(A) = 0.4 and P(A∪B) =…

Q: In rolling a die one time, we define the following two events A = obtaining an even number B =…

A: if a die is rolled one time then the possible  out comes are1,2,3,4,5,6A=2,4,6B=1,3,5

Q: Let A and B be events with P(A) = 0.1 and P(B) = 0.4. Assume that A and B are independent. Find P(A…

A:

Q: a. Let A and B be two events such that P(A) = 0.05 and P(A U B) = 0,49. Calculate P(B') if events A…

A: Continue with Simple probability theory...............

Q: Classify each event as: Independent (I), Dependent (D), Mutually Exclusive (ME), Inclusive Events…

A: Here we have to identity whether the given events are: Independent (I), Dependent (D), Mutually…

Q: Let A and B be the two events of a sample S such that P(AUB) = 0.90, PĀNB) = 0.35,P(ĒNA)= 0.30o What…

A: According to the provided information, we have Let A and B be the two events of a sample S.

Q: at random events A and Bare independent, A and C are independent, and BC = 6. %3D P(B) =,P(AC |…

A: Given that

Q: (A) (B) (C) Brand A Brand B Brand C (P) 5. Cup (E) 6 6 8. Cone Select all that apply. Which two…

A:

Q: If A, and B are two independent events such that P(A) = 0.6 and P(B) = 0.5. Then P(AUB) is equal to…

A: Given  P(A)=0.60, P(B)=0.50 and P(AUB)=?

Q: Let A, B be independent events such that p(A) 0.4 and p(B) = 0.6. Find p(A – B) %3D Select one: а. 1…

A: GivenP(A)=0.4P(B)=0.6A,B are independent events Then P(A∩B)=0

Q: Given P(An B') = 0.25, P(A) = 0.48 and P(B) = 0.42. Find P(A n B). Is A and B mutually exclusive…

A: (1) Let A and B are two events The known probabilities are,

Q: Let A, B be two events such that p(An B) = 0.4, P(B n A) = 0.1 and p(An B) = 0.6. Find p(A) %3D %3D…

A: P(A∩B¯) = P(only A) = 0.4 P(B∩A¯) = P(only B) = 0.1 PA∩B¯ = 1 - P(A∩B) P(A∩B)  = 1 - 0.6 = 0.4

Q: 1) Determine the probability of spinning each outcome using the spinner below. The spinner is only…

A: As per our guidelines we are supposed to answer only one question and 3 sub-parts of that question…

Q: 10. Let A and B be events such that Pr[B] = 0.7,Pr[A U B] = 0.9, Pr[A|B] = 0.3. Find Pr [A]. %3D %3D

A: Provided information: P(B)=0.7P(A∪B)=0.9P(A|B)=0.3

Q: Q4. Let A and B be events with P(A) 0.3, P(AUB)=0.5 and P(B) p. Find p if: a. A and B are disjoint.…

A:

Q: Let A and B be the two events of a sample S such that PLAUB) =0.90, P(ANB)=0.35,P(NA) = 0.30 Find…

A: By using the given information, we have Let A and B be the two events of a sample S

Q: A coin is tossed four times, Find: L. The probability of getting maximum one head. O1/16 ONone of…

A: i) If the coin is tossed 4 times then we can get : 0 head for the outcome: TTTT 1 head for the…

Q: Are these events mutually exclusive (E) or mutually inclusive (1)? Blank 1 1. Rolling an even and an…

A:

Q: 1. Let A and B be two events such that P(A) = 0.4, P(B) = 0.7, P(A U B) = 0.9 %3D a) Find P(A n B).

A: Given: P (A) = 0.4 P (B) = 0.7 P (A U B) = 0.9   a) P (A ∩ B) = ?

Q: 9I Three coins ave to ssedslet Abe even (atteast 2 heads)and Bbe the event call the Same) Find…

A: From the given information it is observed that there are 3 coins are tossed,  So the outcome of the…

Q: Let E and F be two events in Swith P(E) = 0.3, P(F) = 0.5, and P(EN F) = 0.2. Find P(EN F). (Hint:…

A:

Q: The P(A)=0.32P(A)=0.32 and the P(B)=0.09P(B)=0.09. Events AA and BB are mutually exclusive. What is…

A: Given information- P (A) = 0.32 P (B) = 0.09 Since we have given that events A and B are mutually…

Q: uestion 16 For any two events A and B to be not independent, P(AN B) = P(A).P(B) True False

A:

Q: Two events A and B are such that P(A) = 0.19, P(A N B)= 0.15, P(A or B ) = %3D 0.99. Find P(AC O…

A: Introduction :-  A and B are the two events. Here we have to find the probability of intersection of…

Q: Let A and B event with. P(A)=0.3, P(B)=0.16 Find: • P(An B) If A and B are independent • P(B|A), If…

A:

Q: Let E and F be two events in S with P(E) = 0.45, P(F) = 0.63, and P(E ∪ F) = 0.87. Find P(E ∩ F) and…

A: Formula:For 2 events A and B, P (A ⋃ B) = P (A) + P (B) – P (A ∩ B).

Q: If A and Bare two independent events where P(A) = 0.2 and P(B) = 0.4, then P(ANB) = %3D • 0.2 • 0.4…

A: Solution-: We have,  and A and B are independent event We find,

Q: b) Let A and B are two events such that: P(A) 0.5, P(B) 0.7, and P(AC n BC) = 0.2, use a Venn…

A:

Q: (ii) The events Pand Q are such that P(P) =, P(PnQ) = and P(P]Ø)= ;. Find (c) P(Q), (d) P(Q|P), (e)…

A:

Q: Let A and B be two events such that P(A) = ¼ While P(A or B) = ½. Let P(B) = P. For which value of…

A: The probability of happening of event A is 14. The probability of happening of event A or event B…

Q: Let A and B be two independent events with P(A) = 0.25 and P(AU B) = 0.75. Then, the value of P(A-…

A: Given: P(A) = 0.25 P(A U B) = 0.75 A and B are independent events

Q: If A and B are two disjoint events such that p(A) = 0.3 and p(B) =0.2, then p(AU B) = %3D %3D Select…

A:

Q: Let A and B be the two events of a sample S such that P(AUB) = 0.90, P(ANB) = 0.35,P(BNA) = 0.30…

A: Then we find P(B)

Q: 5. Let A and B be two events such that P(A) = 1/7, P(AUB) = 1/2, and P(AB) = 1/12. Determine P(B).…

A: ANS Given Let A and B be two events                P(A)=17 ,  P(A∪B) =12,     P(AB)=112 =P(A∩B)…

Q: A milk display case at a grocery store is stocked with cartons of regular milk and soy milk, in both…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 5. Let A and B be events such that 0 < P(A) < 1 and 0 < P(B) < 1 a. Show that if A and B are…

A:

Q: he P(A)=0.34P(A)=0.34 and the P(B)=0.42P(B)=0.42. Events AA and BB are mutually exclusive. What is…

A:

Q: If A and B are disjoint events such that P(A) =0.30 and P(B)=0.50 then P(BNAC) %3D

A: It is given that, A and B are disjoint events i.e. P(A ∩ B) =0 We have P(A) =0.30 and P(B)=0.50

Q: Given P(A)=0.5 and P(B) =0.3 a) if A and B are mutually exclusive events, compute P(A or B)

A: Two events are said to be mutually exclusive events, if two events can not occur simultaneously.…

Q: Let A, B be independent events such that p( A) = 0.4 and p(B) 0.7. Find p(B- A) %3D %3D Select one:…

A: According to the given information, we have Let A and B are two independent events such that p(A) =…

Q: %3D Let A, B be two mutually exclusive events such that AUB = N, p(A) = 3p(B). Find p(А - В) Select…

A: Introduction -  For any events A and B P(A-B)=P(A)-P(AB)    (B⊂A) P(AB)=P(A)P(B)

Q: Let E and F be two events in S with P(E) = 0.54, P(F) = 0.57, and P(E n F = 0.28. Find P(E n F) and…

A:

Q: Let A and B be the two events of a sample S such that P(AUB) = 0.90, P(ANB) = 0.35, P(ĒNA) = 0.30…

A: According to the given information, we have Let S be the Sample space A and B be the two events of a…

Q: Let A, and B be two independent events such that P(A) = 0.22 and P(B) = 0.67. Find P(A n B). Select…

A: GivenP(A)=0.22P(B)=0.67A and B are independent events

Q: If A and B are two independent events where P(A) = 0.2 and P(B) =0.4, then P(ANB) = %3D O 0.4 O 0.2…

A:

Q: Let A and B be events with P(A) = 0.1 and P(B) = 0.4. Assume that A and B are independent. Find P(A…

A: We have given that,  A and B are two independent events with     P(A) = 0.1 and P(B) = 0.4 Then, We…

Q: a) Two events, M and N, are such that P(M) = 0.6, P(M NN) = 0.2, P(M UN) = 0.85 Find P(N |M) State,…

A: Note: According to Bartleby expert guidelines, we can answer only first question with their three…

Q: 4. Let A und B be two events such that: P(A)=0.48. P(B) = 0.67 and P(AnB) =0.22 Then P(AUB) = a)…

A:

Q: Let A and B be events where P(A) = 1/3 and P(B) = 1/4. Show bounds for P (A U B)

A: Given ,PA=13 , PB=14We know that PA∪B≥PB                    PA∪B≥PA              and PA∪B≤PA+PB