3 boxes contain 2 balls each . First contains 2 red balls second contains 1 red and 1 black ball and third contains two black balls . All 3 boxes are fully covered and mislabelled u are only permitted to remove one ball at a time , how many minimum balls you must remove to be able to label the three boxes correctly.

Open in App

Solution

Since no label is correct, we have to distinguish between two cases: (GR is labeled GG, GG is labeled RR, RR is labeled GR) or (GR is labeled RR, RR is labeled GG, GG is labeled GR). So pick one ball at random from the box labeled GR.

Suggest Corrections

Similar questions

Q62. Three labeled boxes containing red and white cricket balls are all mislabeled. It is known that one of the boxes contains only white balls and one only red balls. The third contains a mixture of red and white balls. You are required to correctly label the boxes with the labels red, white and red and white by picking a sample of one ball from only one box. What is the label on the box you should sample?

Q. Three labeled boxes containing red and white cricket balls are all mislabeled. It is known that one of the boxes contains only white balls and one only red balls. The third contains a mixture of red and white balls. You are required to correctly label the boxes with the labels red, white and red and white by picking a sample of one ball from only one box. What is the label on the box you should sample?

Q. There are 3 boxes, the first one containing 1 white, 2 red and 3 black balls; the second one containing 2 white, 3 red and 1 black ball and the third one containing 3 white, 1 red and 2 black balls. A box is chosen at random and from it two balls are drawn at random. One ball is red and the other, white. What is the probability that they come from the second box?

Q. A box

B_{1}

contains 1 white ball, 3 red balls and 2 black balls. Another box

B_{2}

contains 2 white balls, 3 red balls and 4 black balls. A third box

B_{3}

contains 3 white ball, 4 red balls and 5 black balls. If one ball is drawn from each of the boxes

B_{1}, B_{2}

and

B_{3}

, the probability that all three drawn balls are of the same colour is

A box $B 1$ contains $1$ white ball, $3$ red balls and $2$ black balls. Another box $B 2$ contains $2$ white balls, $3$ red balls and $4$ black balls. A third box $B 3$ contains $3$ white balls, $4$ red balls and $5$ black balls. If $1$ ball is drawn from each of the boxes $B 1, B 2$ and $B 3$ the probability that all $3$ drawn balls are of the same color is

Join BYJU'S Learning Program