Clocks

Find the probability that the calculator has a good deal and a good battery?

Assume that 5% of a defective batch of calculators cases, and only 7% of defective batteries. In addition, the 1% is a bad deal and the defective batteries. A calculator is chosen at random from the lot.

A good way to see this scenario is to attract a Venn diagram. Draw a rectangle with two circles in the intersection. Let's label the following diagram as follows: a circle = 1, if the probability of defects (5%) B 2 = circle, probaility defective battery (7%) = C overlap, the probability of the event and defective batteries (1%) D = rectangle region between and outside the circle, the "good example" To resolve this problem, we D: D everthing is simply not talking to A, B and C. Therefore: Prob (D) = 1 – Prob (A, B, C) To find Prob (A, B, C) is the region overlap. If you draw a circle and the circle B, then C is the area that is really prepared twice. Therefore, when taking the chance that we have to subtract a "C" because it is effectively counted twice. As follows: Prob (A, B, C) = Prob (A) + Prob (B) – Prob (C). Now we can to solve Prob (D): Prob (D) = 1 – [Prob (A) + Prob (B) - Prob (C)] Prob (D) = 1 – [0.05 + 0.07 - 0.01] = 0.89 = 89% to 89% chance of choose a good calculator'——— Hope this helps

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