A box contains five sets of balls while there are 3 balls in each set . Each set of balls has one colour which is different from every other set ,what is the least number of balls that must be removed from the box in order to claim with certainty that a pair of balls of the same colour has been removed?Options69117
Question
A box contains five sets of balls while there are 3 balls in each set . Each set of balls has one colour which is different from every other set ,what is the least number of balls that must be removed from the box in order to claim with certainty that a pair of balls of the same colour has been removed?Options69117
Solution
The answer is 6. Here's why:
- There are 5 sets of balls, each with a different color.
- You could take one ball from each set, which would total 5 balls. However, none of these balls would be the same color because they each come from a different set.
- To ensure that you have at least one pair of balls of the same color, you would need to take one more ball. This ball would have to be the same color as one of the balls already taken because there are only 5 sets (colors) of balls.
- Therefore, the least number of balls you must remove from the box to guarantee a pair of the same color is 6.
Similar Questions
Five balls of different colours are to be placed in three boxes of different sizes. Each box can hold all five balls. In how many ways can we place the balls so that no box remains empty?50100150200
orrect answerThere are total 18 balls in a bag. Out of them 6 are red in colour, 4 are green in colour and 8 are blue in colour. If vishal picks three balls randomly from the bag, then what will be the probability that all the three balls are not of the same colour?Options95/10221/2619/2346/51
In a bag there are 6 white, 4 black and 5 yellow balls. Three balls are taken at random from the bag. What is the probability that not all of them are of the same colour?
A bag contains 3 red balls 5 black balls . Two balls are to be taken at random without replacement, from the bag. Find the probability that the two balls taken are of the same colour.
Box A contains 5 red and 4 blue balls, Box Bcontains 2 red and 5 blue balls. A ball is drawnat random from each box. Find the probabilitythat one is red and the other is blue.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.