Question:
A box contains 4 blue, 2 green and 3 red balls and another box contains 4 red, 3 green, and 5 blue balls. A ball is picked up at random from one of the boxes. What is the probability that the ball is blue?
A box contains 4 blue, 2 green and 3 red balls and another box contains 4 red, 3 green, and 5 blue balls. A ball is picked up at random from one of the boxes. What is the probability that the ball is blue?
Updated On: Jul 26, 2024
- \(\frac{2}{9} \)
- \(\frac{5}{24} \)
- \(\frac{19}{72} \)
- \(\frac{29}{72} \)
- \(\frac{31}{72} \)
Hide Solution
Verified By Collegedunia
The Correct Option is
Solution and Explanation
The correct answer is option (E): \(\frac{31}{72} \)
Was this answer helpful?
0
0
Top Questions on Probability
- The probability of a boy winning a game is \( \frac{2}{3} \). Let \( n \) denote the least number of times he must play the game so that the probability of winning the game at least once is more than 90%, and \( X \) denotes that number of times he wins the game. Hence \( n \), mean, variance, and standard deviation of the random variable \( X \) are respectively:
(A) 3
(B) \( \frac{2}{3} \)
(C) 2
(D) 0.81
Choose the correct answer from the options given below:- CUET (UG) - 2024
- Mathematics
- Probability
- A coin is tossed twice. Then Match List-I with List-II:
List-I List-II (Adverbs) (A) P(exactly 2 heads) (I) \(\frac{1}{4}\) (B) P(at least 1 head) (II) \(1\) (C) P(at most 2 heads) (III) \(\frac{3}{4}\) (D) P(exactly 1 head) (IV) \(\frac{1}{2}\)
Choose the correct answer from the options given below :- CUET (UG) - 2024
- Mathematics
- Probability
- A pair of dice is rolled . If the two numbers appearing on them are different the probability that
Match List-I with List-II
LIST-I(EVENT) LIST-II(PROBABILITY) (A) The sum of the number is greater than 11 (i) 0 (B) The sum of the number is 4 or less (ii) 1/15 (C) The sum of the number is 4 (iii) 2/15 (D) The sum of the number is 4 (iv) 3/15 Choose the correct answer from the option given below
- CUET (UG) - 2024
- Mathematics
- Probability
- In a series of 4 trials, the probability of getting two successes is equal to the probability of getting three successes. The probability of getting at least one success is:
- CUET (UG) - 2024
- Mathematics
- Probability
- Two events \(X\) and \(Y\) are such that \(P(X) = \frac{1}{3}\), \(P(Y) = n\), and the probability of occurrence of at least one event is 0.8. If the events are independent, then the value of \(n\) is:
- CUET (UG) - 2024
- Mathematics
- Probability
View More Questions
Questions Asked in IBSAT exam
- An electronic company conducts a survey of 1500 houses for their products. The survey suggested that 862 houses own TV, 783 houses has AC and 736 houses has washing machine. There were 95 houses having only TV, 136 houses having only AC and 88 houses having only washing machine. There were 398 houses having all the three equipments. How many houses have only TV and washing machine but not AC?
- IBSAT
- Set Theory
- Given quadratic equation is \(x^2-|x|-30=0 . \)Then which of the following statements is/are incorrect?
- IBSAT
- Quadratic Equation
- P, Q and E start a joint venture, where in they make an annual profit. P invested one-third of the capital for one-fourth of the time, Q invested one-fourth of the capital for one-half of the time and R invested the remainder of the capital for the entire year. P is a working partner and gets a salary of `10,000 per month. The profit after paying P’s salary is directly proportional to the sum each one has put and also to the square of the number of months for which each has put their sum in the venture. If in a year P earns ` 60,000 more than Q, then how much does P earn?
- IBSAT
- Profit sharing ratio
- The boat will sink when the weight on it increases beyond 350 kg. There is a hole in it through which the water leaks in at the rate of 0.4 kg/s. The weight of the boat is 1200 kg, and the weight of the boatman is 48 kg. The boatman throws out water at the rate of 0.04 kg/s. There are four passengers whose weights are 42.5 kg, 53.5 kg, 43.5 kg and 54.5 kg. How long will the boat float?
- IBSAT
- Number Systems
- Sugar worth 15 per kg and 16 per kg is mixed with a third variety of some other cost in the ratio 1 : 1 : 2. If the mixture is of worth 20 per kg, what would be the cost of the third variety of sugar per kg?
- IBSAT
- Mixtures and Allegations
View More Questions