please use the diagram to answer the following 5 questions 6. If the probability

Question

please use the diagram to answer the following 5 questions

6. If the probability value of 'A' is half the probability value of 'B', then what is the probability value of 'B' expressed as whole percentage points (e.g., 50%)?

7. As a percentage to one decimal place, what is the probability of reaching Point 'D'?

8. If the probability value of 'A' is half the probability value of 'B', then what is the probability value of 'A' expressed as whole percentage points (e.g., 50%)?

9. As a percentage to one decimal place, what is the probability of reaching Point 'F'?

10. Based on the diagram as shown, what is the probability of reaching Point 'G'? Express your answer as a percentage to one decimal place.

Explanation / Answer

6)as sum of probability on a node is 1 ;

theefore 0.4+P(A)+0.3+P(B)=1

P(A)+P(B) =0.3 .......(1)

also as P(A)=P(B)/2

hence putting above in equation (!)

P(B)/2+P(B)=0.3

P(B) =0.2 ~ 20.0%

7)

P(D) =0.4*0.65 =0.26~ 26%

8)

from above P(A) =P(B)/2 =10%

9)

p(f) =0.3*0.9=0.27 ~ 27.0%

10)

as P(H) =0 ; cause other branches from the node from wich H is coming sum of probability is equal to 100%;

hence P(G)=0.3*0 =0 ~ 0.0%

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