A bag contains 6 White and 9 blue balls find the probability that a ball drawn out from the bag randomly is white

Mathematics

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Answer

25\frac{2}{5}

Step-by-step solution

4 steps

  1. Determine the number of favorable outcomes.

    The number of white balls is 6. These are the favorable outcomes.

  2. Determine the total number of possible outcomes.

    The total number of balls in the bag is the sum of white and blue balls.

    Total balls=Number of white balls+Number of blue balls\text{Total balls} = \text{Number of white balls} + \text{Number of blue balls} Total balls=6+9=15\text{Total balls} = 6 + 9 = 15

  3. Calculate the probability of drawing a white ball.

    The probability is the ratio of favorable outcomes to the total number of possible outcomes.

    P(White)=Number of white ballsTotal number of ballsP(\text{White}) = \frac{\text{Number of white balls}}{\text{Total number of balls}} P(White)=615P(\text{White}) = \frac{6}{15}

  4. Simplify the probability.

    Both 6 and 15 are divisible by 3.

    P(White)=6÷315÷3=25P(\text{White}) = \frac{6 \div 3}{15 \div 3} = \frac{2}{5}

    The probability that a ball drawn out from the bag randomly is white is 25\boxed{\frac{2}{5}}.

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