. A bag contains 5 red balls and some blue balls
If the probability of drawing a blue ball is double that of a red ball, determine the number of blue balls in the bag.
Best Answer
Explanation:-
Probability = Number of possible outcomes/Total number of outcomes
As it is given in the question that the probability of drawing a blue ball is double that of a red ball, that means
2 × probability of drawing red ball = probability of drawing the blue ball.
Now, Number of red balls = 5
Let the number of blue balls be x
Total number of balls = x + 5
Probability of drawing red ball = Number of possible outcomes/Total number of outcomes
=5/(x+5)
Probability of drawing blue ball = Number of possible outcomes/Total number of outcomes
=5/(x+5)
Since the probability of drawing a blue ball is double that of a red ball
x/x+5=2[5/x+5]
x=10
Final answer:-
Hence the number of blue balls = 10
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