A bag contains 20 white shirts and 10 red shirt. One shirt is drawn out of the bag. What is the probability that it is: a) A white shirt. b)A red shirt?

Mathematics

ScanSolve AI Answer

Answer

23\frac{2}{3}

13\frac{1}{3}

Step-by-step solution

3 steps
  1. Determine the total number of shirts in the bag.

    There are 20 white shirts and 10 red shirts.

    Total number of shirts=20+10=30\text{Total number of shirts} = 20 + 10 = 30
  2. Calculate the probability of drawing a white shirt.

    The number of white shirts is 20.

    P(white shirt)=Number of white shirtsTotal number of shirts=2030=23P(\text{white shirt}) = \frac{\text{Number of white shirts}}{\text{Total number of shirts}} = \frac{20}{30} = \frac{2}{3}

    The probability of drawing a white shirt is 23\boxed{\frac{2}{3}}.

  3. Calculate the probability of drawing a red shirt.

    The number of red shirts is 10.

    P(red shirt)=Number of red shirtsTotal number of shirts=1030=13P(\text{red shirt}) = \frac{\text{Number of red shirts}}{\text{Total number of shirts}} = \frac{10}{30} = \frac{1}{3}

    The probability of drawing a red shirt is 13\boxed{\frac{1}{3}}.

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