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Determine P (E|F) in : Mother father and...

Determine P (E|F) in : Mother father and son line up at random for a family picture E: son on one end. F: father in middle

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To determine \( P(E|F) \) where \( E \) is the event that the son is on one end and \( F \) is the event that the father is in the middle, we can follow these steps: ### Step 1: Identify the Sample Space The total number of ways to arrange the mother (M), father (F), and son (S) in a line is \( 3! = 6 \). The possible arrangements are: 1. MFS 2. MSF 3. FMS 4. FSM 5. SMF 6. SFM

To determine \( P(E|F) \) where \( E \) is the event that the son is on one end and \( F \) is the event that the father is in the middle, we can follow these steps: ### Step 1: Identify the Sample Space The total number of ways to arrange the mother (M), father (F), and son (S) in a line is \( 3! = 6 \). The possible arrangements are: 1. MFS 2. MSF 3. FMS 4. FSM ...
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NAGEEN PRAKASHAN ENGLISH-PROBABIILITY-Exercise 13.1
  1. Given that E and F are events such that P (E) = 0. 6, P (F) = 0. 6, P...

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  2. Compute P(A|B). if P(B) = 0. 5and P(AnnB)= 0. 32

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  3. If P (A) = 0. 8, P(B) = 0. 5and P(B|A) = 0. 4, find (i) P(AnnB) (ii) ...

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  4. Evaluate P(AuuB), if 2P(A) = P(B) =5/(13)and P(A|B) =2/5

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  5. If P (A) =6/(11), P(B) =5/(11)and P(AuuB)=7/(11), find(i) P(AnnB) (ii)...

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  6. A coin is tossed three times. Find P(A//B) in each of the following: A...

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  7. Two coins are tossed once. P(E//F) in each of the following: E= Tail a...

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  8. Determine P (E|F) in : A die is thrown three times, E : 4 appears on t...

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  9. Determine P (E|F) in : Mother father and son line up at random for ...

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  10. A black and a red dice are rolled. (a) Find the conditional probab...

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  11. A fair die is rolled. Consider events E = {1, 3, 5}, F = {2, 3}and G ...

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  12. Assume that each child born is equally likely to be a boy or a girl. I...

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  13. An instructor has a test bank consisting of 300 easy True/False que...

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  14. Given that the two number appearing on throwing two dice are different...

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  15. Consider the experiment of throwing a die if a multiple of 3 comes up,...

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  16. In each of the Exercises choose the correct answer:If P(A) =1/2, P (B...

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  17. If A and B are two events such that A nn B !> phi, p(A/B) = P(B/A). Th...

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