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Peter the Baker buys his chocolate from four different suppliers - Sweetie (30%), Douce (25%), Maam (30%) and Olala (15%). In the past, Peter has

Peter the Baker buys his chocolate from four different suppliers - Sweetie (30%), Douce (25%), Maam (30%) and Olala (15%).

In the past, Peter has found that 1% of Sweetie's chocolate arrives dried out, 1.5% of Douce's chocolate arrives dried out, 2% of Maam's chocolate arrives dried out and 4% of Olala's chocolate arrives dried out.

Peter takes a bar of chocolate randomly (the packaging has been thrown away, and there's nothing on the bars that tell what supplier it come from). He discovers that that bar of chocolate is dried out. What is the probability it was sent by Olala?

Round to 3 decimals

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