obleron, a chocolate is known for its distinctive shape and its taste. The quality assurance team of the brand undertakes quality test in two steps:

Question

Dobleron, a chocolate is known for its distinctive shape and its taste. The quality assurance team of the brand undertakes quality test in two steps:

• Step 1: 30 out of every 990 chocolate bars are randomly picked for physical examination, where the shape of the bar is examined.

• Step 2: For every 30 chocolate bars whose shape is examined, 1 chocolate bar is randomly picked for chemical examination, where the composition and taste of the chocolate is examined.

If one chocolate bar is randomly picked out of 990 bars, what is the probability that it was not chemically examined, provided it was physically examined?

Answer 1

prasangdas06, hello

If one chocolate bar is randomly picked out of 990 bars, the probability that it was not chemically examined, but was physically examined, is: ²⁹/₉₉₀ or approximately 0.029

Comments

can you give a detailed solution?

Answer 2

\(= \frac{30}{990}\times\frac{29}{30}\)