bac-s-maths 2017 Q3

bac-s-maths · France · centres-etrangers 1 marks Conditional Probability Bayes' Theorem with Production/Source Identification
Machine A produces one third of the factory's sweets. The rest of production is ensured by machine B. When produced by machine B, the probability that a randomly selected sweet is deformed is equal to 0.02. In a quality control test, a sweet is randomly selected from the entire production. It is deformed.
What is the probability, rounded to the nearest hundredth, that it was produced by machine B?
Answer a: 0.02 Answer b: 0.67 Answer c: 0.44 Answer d: 0.01
Machine A produces one third of the factory's sweets. The rest of production is ensured by machine B. When produced by machine B, the probability that a randomly selected sweet is deformed is equal to 0.02. In a quality control test, a sweet is randomly selected from the entire production. It is deformed.

What is the probability, rounded to the nearest hundredth, that it was produced by machine B?

Answer a: 0.02\\
Answer b: 0.67\\
Answer c: 0.44\\
Answer d: 0.01