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. One bag contains 3 white and 2 black balls, another bag contains 2 white and 3 black balls. Two balls are drawn from the first bag and put it into the second bag and then a ball is drawn from the second bag. What is the probability that it is white?
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. One bag contains 3 white and 2 black balls, another bag contains 2 w...


Given Information:
- Bag 1: 3 white balls, 2 black balls
- Bag 2: 2 white balls, 3 black balls

Step 1: Probability of Drawing White Balls from Bag 1
- Total balls in Bag 1 = 3 white + 2 black = 5 balls
- Probability of drawing a white ball from Bag 1 = 3/5 * 2/4 = 3/10

Step 2: Transfer of Balls from Bag 1 to Bag 2
- Two white balls are transferred from Bag 1 to Bag 2
- Now, Bag 2 contains 4 white balls and 3 black balls

Step 3: Probability of Drawing a White Ball from Bag 2
- Total balls in Bag 2 = 4 white + 3 black = 7 balls
- Probability of drawing a white ball from Bag 2 = 4/7

Final Probability Calculation:
- Probability of drawing white ball from Bag 2 after transfer = Probability of drawing white balls from Bag 1 * Probability of drawing white ball from Bag 2
- = 3/10 * 4/7
- = 12/70
- = 6/35

Therefore, the probability that the ball drawn from Bag 2 after the transfer is white is 6/35.
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. One bag contains 3 white and 2 black balls, another bag contains 2 white and 3 black balls. Two balls are drawn from the first bag and put it into the second bag and then a ball is drawn from the second bag. What is the probability that it is white?
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