Question

Create a real-world example of how to determine the conditional probability of event A given event B. List the five steps and propose probabilities for each event A and B work through the step to find the conditional probability. PLEASE WRITE CLEARLY OR TYPE.

1. Step 1:
2. Step 2:
3. Step 3:
4. Step 4:
5. Step 5:

Answer 1

Solution; 7from the given antormat on. Inorder to Solve the Conditional probability f event A Tiven that event B' The following are the steps; >when A and B are dependent, the probability of both the events ocutiny is. P(A and BplA) p(B/A) Step-1; plAne)- plA) PIBIA) Step-2; divide pLA) both the Sides P(ANB) Plp P(BIA) PLA step-3 Texminate p(A) on the Right Side PLBA)X PLA P(ANB) PCA) PIA stepy PlAnB)(B/A) PLAX step-5 forming the formula PIANB) PIBIA) PCA)

Real wosld Example; Sum is greate what will be the probability that the than q the event ot fisst dies 5. 1 St A is 1 die event -5 Ansi Considen A's sample Speace 5,0 (5R) (5,3) (5,4) (S.5) (s,6)3 A = plA)-Numben of fawourable events of A To tal outcomes 36 pCA) = 16 where Sum Consid en B is event B-S04,015,6) (5,5) (64)(6,5) (66) Simi lanly, plB) 36 pla)16 Possible outcomes tor A and B ane Ss) s, pCA and B)- p(AnB) 87 > 8 P(ADE)-/R

Substitute these Values in step 5 plelA) PLANB) PlA) 13 rle/A) > when Both dies ane 1o1led at once, the sample Space is SCIOCTSCS ,9) 1)l1,0 (20 (2,2) (2.3) (R4) (RS) (2.6) (3,1) (3,2) (3,3) (3, 4) (3,5) (3,6) (u,) 142) (4.3) (4,4) (4,s) 4,6) (S)l5) () 5) (5,6)[6D (6,2) (6.3) (61) [6.3) (6,6)} 11 36. are Total number of possible outomes