Question
A box contains only three colors of balls- red, green and blue. What is the minimum number of balls that should be picked from the box to ensure that at least 4 red balls or at least 6 green balls or at least 7 blue balls are picked?
Solution
If we pick at least 3 red balls, 5 green balls and 6 blue balls from the box, the total number of balls picked from the box will be 14. If one more ball is picked from the box, irrespective of what it is, it can be said that at least 4 red balls or at least 6 green balls or at least 7 blue balls have been picked from the basket. Hence, required number of balls = 14 + 1 = 15
More Probability Questions
- A jar contains 'z' white balls and 9 black balls. If the probability of getting a white ball is 4/7, then find the probability of getting different coloure...
- A bag contains 12 black and 14 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
- A box contains 12 black, 8 red and 10 green marbles. Two marbles are randomly selected from the box, what is the probability that a black and a green marbl...
- A bag contains 9 blue balls, 16 red balls, and 20 green balls. One ball is drawn at random. Find the probability that the ball drawn is either blue or gree...
- Bag A contains 5 yellow and 5 blue balls, while Bag B contains 3 yellow and 6 green balls. If one ball is drawn from bag 'A' and bag 'B', respectively, at ...
- A box contains 6 white balls, 5 black balls and 4 red balls. Two balls are drawn at random without replacement. What is the probability that both balls are...
- The probability that Kabir clears an interview is (2/5) and the probability that Simran fails is (1/4). Find the probability that both have the same result...
- A bag contains 4 white balls, 9 red balls, and 5 green balls. Two balls are drawn at random. Find the probability that the two balls are red.
- Two dancers Seema and Reema appeared in audition of a dance competition. The probability that seema will be selected in this dance competition is 0.05 and ...
- A bag contains 5 violet, 16 blue and 7 grey balls. Two balls are randomly drawn from the bag, what is the probability that a violet and a grey ball are dra...
Relevant for Exams:
