QQuestionMathematics
QuestionMathematics
A bag contains 3 red balls, 5 blue balls, and 2 green balls. What is the probability of drawing a blue ball?
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Answer
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Step 1:: Define the problem
The problem asks for the probability of drawing a blue ball from a bag containing 3 red balls, 5 blue balls, and 2 green balls.
Step 2:: Determine the sample space
The sample space consists of the total number of balls in the bag, which is 3 (red) + 5 (blue) + 2 (green) = 10 balls.
Step 3:: Determine the favorable outcomes
The favorable outcomes are the number of blue balls, which is 5.
Step 4:: Calculate the probability
Probability is defined as the ratio of the number of favorable outcomes to the size of the sample space. So the probability of drawing a blue ball is given by:
Step 5:: Simplify the probability
The probability can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 5:
Final Answer
The probability of drawing a blue ball is 1 / 2 or 50%.
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