There are 8 red balls and some blue balls in the bag. One ball is drawn at random, then
the probability of getting red ball and blue ball is in the ratio 2 : 5. Find the probability
of getting blue ball.
Answers
Given : A bag contains 8 red balls and some blue balls.
If one ball is drawn randomly the probability of drawing a red ball to a blue ball are in the ratio 2:5
To Find : probability of drawing a blue ball from the bag
Solution:
probability of drawing a red ball to a blue ball are in the ratio 2:5
probability of drawing red ball = 2P
probability of drawing Blue ball =5P
Total Probability = 5P + 2P = 7P
probability of drawing a blue ball from the bag = 5P/7P = 5/7
additional info
To find number of blue balls in Bags
Let say blue balls = B
Total Balls = 8 + B
B /(8 + B) = 5/7
=> 7B = 40 + 5B
=> 2B =40
=> B = 20
Blue balls = 20
Total balls = 28
Probability = 20/28 = 5/7
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