A ball is icked from a bag that has 24 red, 6 white and 14 blue balls. If it is known that the ball is not white, what is the probability that it is red.
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The bag contains 24 red, 6 white and 14 blue balls. A ball is picked from the bag and it is known that it is not white in color. The probability that the ball is red in color has to be determined.
If the white balls in the bag are excluded, there are 24 + 14 = 38 balls in the bag of which 24 are red in color. The probability of a ball picked at random from this subset being red is 24/38 = 12/19
The required probability of the ball being red is 12/19
Total number of balls excluding white balls = 24+14 = 38
Probability of picking a red ball out of 38 balls is = 24/38
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