A bag contains x + 2 black balls, x + 5 red balls and x + 8 white balls. The probability of getting a black ball is 1/4. What is the probability of getting three balls of different colours, when three balls are drawn?Question 25Answera.45/119b.23/119c.39/119d.27/119
Question
A bag contains x + 2 black balls, x + 5 red balls and x + 8 white balls. The probability of getting a black ball is 1/4. What is the probability of getting three balls of different colours, when three balls are drawn?Question 25Answera.45/119b.23/119c.39/119d.27/119
Solution
First, let's find the value of x.
Given that the probability of drawing a black ball is 1/4, we can set up the following equation:
(x + 2) / (3x + 15) = 1/4
Solving for x gives us x = 2.
So, the bag contains 4 black balls, 7 red balls, and 10 white balls, for a total of 21 balls.
Next, let's find the probability of drawing three balls of different colors.
The probability of drawing one ball of each color is the product of the probabilities of drawing each ball, in any order.
So, the probability is (4/21) * (7/20) * (10/19) * 6 (since there are 6 different orders in which we can draw the balls).
This simplifies to 140/7980 = 7/399.
So, none of the given options is correct. The correct answer is 7/399.
Similar Questions
A bag contains z+2 black balls, z+5 red balls and z+8 white balls. The probability of getting a black ball is ¼, what is the probability of getting three balls of different colour, when three balls are drawn?
A bag contains 5 white and 4 black balls. If 3 balls are drawn at random, what are theprobabilities of the following?(i) 2 of them are white? Ans : 10/21(ii) at most one of them is white Ans: 17/42(ii) at least two are white. Ans : 25/42
A bag contains 3 blue balls, 4 red balls and 5 vellow balls. Three balls are randomly drawn one by one withoutreplacement.given that the first ball is red and the second is yellow,find the probability that the thrid ball is yellow
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.
ProbabilityA bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:Options1/311/342/911/92
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.