Suppose 400 balls are distributed into 200 boxes in such a way that no box contains...

Suppose 400 balls are distributed into 200 boxes in such a way that no box contains more than 200 balls and each box has at least one ball. Then there are some boxes that together contain exactly 200 balls.

Expert Solution

Colby Messinger answered 2 years ago

Suppose 2 boxes: - Box #1 contains: + 5 Black balls. + 6 White balls. -...

Suppose 2 boxes: - Box #1 contains: + 5 Black balls. + 6 White balls. - Box #2 contains: + 8 Black balls. + 4 White balls. - Two balls are drawn from Box #2 and placed into Box #1. - A ball is drawn from Box #1. 1- What is the probability that the ball drawn from Box #1 is White? 2- Suppose that the ball drawn from Box #1 is White, then what is the probability that at...

Suppose 2 boxes: - Box #1 contains: + 5 Black balls. + 6 White balls. -...

Suppose 2 boxes: - Box #1 contains: + 5 Black balls. + 6 White balls. - Box #2 contains: + 8 Black balls. + 4 White balls. - Two balls are drawn from Box #2 and placed into Box #1. - A ball is drawn from Box #1. 1- What is the probability that the ball drawn from Box #1 is White? 2- Suppose that the ball drawn from Box #1 is White, then what is the probability that at...

Following are three boxes containing balls. Box #1 contains 2 black balls and 1 white ball....

Following are three boxes containing balls. Box #1 contains 2 black balls and 1 white ball. Box #2 contains 2 black balls and 2 white balls. Box #3 contains 1 black ball and 2 white ball. Draw a ball from Box 1 and place it in Box 2. Then draw a ball from Box 2 and place it in Box 3. Finally draw a ball from Box 3 . What is the possibility that the last ball drawn, from Box...

There are 2 boxes. The first box contains 2 white and 5 black balls. The second...

There are 2 boxes. The first box contains 2 white and 5 black balls. The second box contains 4 white and 7 black balls. A random box is chosen and from it a random ball is drawn. a) What is the probability that the ball is white? b) If the ball is known to be white, what is the probability that it came from the 1st box?

We have 3 boxes. Box A contains 1 yellow ball and 2 red balls. Box B...

We have 3 boxes. Box A contains 1 yellow ball and 2 red balls. Box B conatins 2 yellow balls and 2 red balls. Box C contains 2 yellow balls and 1 red ball. First, we randomly choose between Box A and Box B. Then we randomly choose a ball from the selected box and put the ball into Box C. Lastly, we randomly choose a ball from Box C. Let E1 be the event that Box A is chosen...

We have 3 boxes. Box A contains 1 yellow ball and 2 red balls. Box B...

We have 3 boxes. Box A contains 1 yellow ball and 2 red balls. Box B contains 2 yellow balls and 2 red balls. Box C contains 2 yellow balls and 1 red ball. First, we randomly choose between Box A and Box B. Then we randomly choose a ball from the selected box and put the ball into Box C. Lastly, we randomly choose a ball from Box C. Let E1 be the event that Box A is chosen...

We have 3 boxes. Box A contains 1 yellow ball and 2 red balls. Box B...

We have 3 boxes. Box A contains 1 yellow ball and 2 red balls. Box B conatins 2 yellow balls and 2 red balls. Box C contains 2 yellow balls and 1 red ball. First, we randomly choose between Box A and Box B. Then we randomly choose a ball from the selected box and put the ball into Box C. Lastly, we randomly choose a ball from Box C. Let E1 be the event that Box A is chosen...

We have 3 boxes. Box A contains 1 yellow ball and 2 red balls. Box B...

We have 3 boxes. Box A contains 1 yellow ball and 2 red balls. Box B conatins 2 yellow balls and 2 red balls. Box C contains 2 yellow balls and 1 red ball. First, we randomly choose between Box A and Box B. Then we randomly choose a ball from the selected box and put the ball into Box C. Lastly, we randomly choose a ball from Box C. Let E1 be the event that Box A is chosen...

Box 1 contains 3 red balls, 5 green balls and 2 white balls. Box 2 contains...

Box 1 contains 3 red balls, 5 green balls and 2 white balls. Box 2 contains 5 red balls, 3 green balls and 1 white ball. One ball of unknown color is transferred from Box 1 to Box 2. (a) What is the probability that a ball drawn at random from Box 2 is green? (b) What is the probability that a ball drawn from Box 1 is not white?

Two boxes are labelled I and II. Box I contains 4 black balls and 6 white...

Two boxes are labelled I and II. Box I contains 4 black balls and 6 white balls. Box II contains 2 black balls and 8 white balls. A player randomly selects one box and then randomly draws 2 balls without replacement from the selected box. 1) What is the probability of obtaining 2 black balls? 2) Given that 2 black balls are obtained, what is the probability that Box I is selected? 3) Suppose that 20 players conduct the game...

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Suppose 400 balls are distributed into 200 boxes in such a way that no box contains...

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