There are 20 bulbs in a school store, 5 of them are bad. If the store man gives out one of the bulbs in the store, what is the probability that it is: a) a good bulb? b)a bad bulb?

Mathematics

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Answer

34\frac{3}{4}

14\frac{1}{4}

Step-by-step solution

4 steps

  1. Determine the total number of bulbs and the number of bad bulbs.

    There are 20 bulbs in total, and 5 of them are bad.

  2. Calculate the number of good bulbs.

    Number of good bulbs=Total bulbs−Bad bulbs=20−5=15\text{Number of good bulbs} = \text{Total bulbs} - \text{Bad bulbs} = 20 - 5 = 15

  3. Calculate the probability of drawing a good bulb.

    P(good bulb)=Number of good bulbsTotal number of bulbs=1520=34P(\text{good bulb}) = \frac{\text{Number of good bulbs}}{\text{Total number of bulbs}} = \frac{15}{20} = \frac{3}{4}

    The probability of drawing a good bulb is 34\boxed{\frac{3}{4}}.

  4. Calculate the probability of drawing a bad bulb.

    P(bad bulb)=Number of bad bulbsTotal number of bulbs=520=14P(\text{bad bulb}) = \frac{\text{Number of bad bulbs}}{\text{Total number of bulbs}} = \frac{5}{20} = \frac{1}{4}

    The probability of drawing a bad bulb is 14\boxed{\frac{1}{4}}.

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