Question:
Varun throw two unbiased dice together and gets a sum of 7. If his friend Tarun then throws the same two dice, what is the probability that the sum is less than 7?
Varun throw two unbiased dice together and gets a sum of 7. If his friend Tarun then throws the same two dice, what is the probability that the sum is less than 7?
Updated On: Jan 30, 2025
- \(\frac{1}{6}\)
- \(\frac{7}{12}\)
- \(\frac{1}{2}\)
- \(\frac{5}{12}\)
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
The number of possibilities where the sum is less than '7' is,
(1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (4,1), (4,2), (5,1)
There are 15 possibilities out of 36(6 x 6) possible outcomes.
∴ The probability that the sum is less than 7 is,
⇒ \(\frac{15}{36}=\frac{5}{12}\)
Hence, option D is the correct answer.The correct option is (D): \(\frac{5}{12}\)
(1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (4,1), (4,2), (5,1)
There are 15 possibilities out of 36(6 x 6) possible outcomes.
∴ The probability that the sum is less than 7 is,
⇒ \(\frac{15}{36}=\frac{5}{12}\)
Hence, option D is the correct answer.The correct option is (D): \(\frac{5}{12}\)
Was this answer helpful?
0
0
Top Questions on Probability
- If $P(A) = \frac{1}{7}$, $P(B) = \frac{5}{7}$ and $P(A \cap B) = \frac{4}{7}$, then $P(A | B)$ is:
- Find the probability distribution of the number of boys in families having three children, assuming equal probability for a boy and a girl.
- If $ A $ and $ B $ are two events such that $ P(A) = 0.7 $, $ P(B) = 0.4 $ and $ P\left( A \cap \overline{B} \right) = 0.5 $, where $\overline{B}$ denotes the complement of $ B $, then $ P\left( B | \left( A \cup \overline{B} \right) \right) $ is equal to
- JEE Main - 2025
- Mathematics
- Probability
- If the probability that the random variable X takes the value x is given by \( P(X = x) = k(x + 1)3^{-x} \), \( x = 0, 1, 2, 3, ... \), where k is a constant, then \( P(X \ge 3) \) is equal to
- JEE Main - 2025
- Mathematics
- Probability
- All five letter words are made using all the letters A, B, C, D, E and arranged as in an English dictionary with serial numbers. Let the word at serial number $ n $ be denoted by $ W_n $. Let the probability $ P(W_n) $ of choosing the word $ W_n $ satisfy $ P(W_n) = 2P(W_{n-1}) $, $ n>1 $. If $ P(CDBEA) = \frac{2^\alpha}{2^\beta - 1} $, $ \alpha, \beta \in \mathbb{N} $, then $ \alpha + \beta $ is equal to :
- JEE Main - 2025
- Mathematics
- Probability
View More Questions
Questions Asked in MAT exam
- Five people -- Akash, Bidhan, Chandan, Dinesh, and Esha -- are sitting around a circular table. The following conditions are given:
1. Chandan is third to the right of Farooq.
2. Bidhan is second to the right of Chandan.
3. Dinesh is not sitting next to Chandan.
4. Akash is not sitting next to Bidhan
Which pair is sitting next to each other?- MAT - 2025
- Seating Arrangement
- Mohan can reach his destination on time by travelling at a speed of 54 km/hr. If one-fourth of the time, he covers \( \frac{2}{9} \) of the total distance, at what speed should the remaining distance be travelled so as to reach his destination on time?
- MAT - 2025
- Time, Speed and Distance
- A shopkeeper makes a profit of 17% by giving a discount of 22% on the marked price of an article. But with a view to gain more profit, he reduces the discount to 18% and makes a higher profit. How much is the difference in his profit percentage with this reduction in discount?
- MAT - 2025
- Profit and Loss
- Ram kumar, a trader mixes two varieties of Moong dal, totally weighing 90kg worth Rs7443. The price of the first variety that he mixes is Rs57.50 per kg and that of the second variety is Rs111.50 per kg. How much quantity of the second variety of moong dal does he mix?
- MAT - 2025
- Mixtures and Allegations
- The ages of Ajay and Vijay differ by 22.5 years. If \(6\frac{1}{2}\) years ago, Vijay was \(3\frac{1}{2}\) times as old as Ajay, find their present ages.
- MAT - 2025
- distance
View More Questions