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Question
A box contains 10 good articles and 6 with defects. One item is drawn at random. The probability that it is either good or has a defect is
Options
\[\frac{64}{64}\]
\[\frac{49}{64}\]
\[\frac{40}{64}\]
\[\frac{24}{64}\]
Solution
\[ \frac{64}{64}\]
\[P\left( \text{ good item } \right) = \frac{10}{16}\]
\[P\left( \text{ defected item } \right) = \frac{6}{16}\]
\[P\left( \text{ either good or defected item } \right) = P\left( \text{ good item } \right) + P\left( \text{ defected item } \right)\]
\[ = \frac{10}{16} + \frac{6}{16}\]
\[ = \frac{16}{16}\]
\[ = 1\]
\[ = \frac{64}{64}\]
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