SOLUTION: A building contractor buys 90​% of his cement from supplier A and 10​% from supplier B. A total of 70​% of the bags from A arrive​ undamaged, and a total of 75​% of the b

Algebra ->  Probability-and-statistics -> SOLUTION: A building contractor buys 90​% of his cement from supplier A and 10​% from supplier B. A total of 70​% of the bags from A arrive​ undamaged, and a total of 75​% of the b      Log On


   



Question 1136516: A building contractor buys 90​% of his cement from supplier A and 10​% from supplier B. A total of 70​% of the bags from A arrive​ undamaged, and a total of 75​% of the bags from B arrive undamaged.
Find the probability that a damaged bag is from supplier Upper B.

Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Use 1000 bags
900 come from A and 630 are undamaged and 270 are damaged
100 come from B and 75 are undamaged and 25 are damaged.
If a randomly chosen bag is damaged, there is a 25/295 chance it came from B or 0.0847 probability.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

P = %280.1%2A%281-0.75%29%29%2F%280.9%2A%281-0.7%29+%2B+0.1%2A%281-0.75%29%29 = 0.0847 = 8.47%.    ANSWER


My formula is SELF-EXPLANATORY.



If you have questions about it - look in it attentively, and it will tell you everything about itself.

Solved.

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