LL.21 Three persons take out red and white ball

There are ten red balls and ten white balls in the bag.

Three of Taro, Jiro and Hanako take out one ball at a time from this bag.

The taken-out ball is not returned to the bag.

When taken out at 1st time, the colors of the balls of Taro and Jiro are different and the colors of Jiro and Hanako are also different.

When taken out at 2nd time, the colors of Taro and Hanako are different and the colors of Jiro and Hanako are also different.

At this time, the color of Hanako is white and the color of Jiro is different from the color in the 1st time.

(1) When taken out at 2nd time, find the number of red balls and white balls in the bag respectively.

(2) As for at 3rd time, the person whose ball taken out at 3rd time was a red ball continues to take out a ball again.

When the 3rd time finished, one red ball remained in the bag.

Find the number of the remaining white ball.











Answer
(1) Red : 6 pieces,
White : 8 pieces
(2) 7 pieces