Question:
Two fair dice are thrown. The probability that the sum of the scores is \(7\) such that the number on the second die is greater than that on the first die is ...
Two fair dice are thrown. The probability that the sum of the scores is \(7\) such that the number on the second die is greater than that on the first die is ...
Show Hint
List the pairs with sum 7 where the second number is larger and divide by 36.
Updated On: Nov 12, 2026
- \(\frac{1}{6}\)
- \(\frac{1}{12}\)
- \(\frac{3}{4}\)
- \(\frac{1}{36}\)
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Understanding the Concept
Two dice give 36 equally likely outcomes. Count the pairs (first, second) with sum 7 and second greater than first.
Step 2: List the favourable pairs
Sum 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1).
Second greater than first: (1,6), (2,5), (3,4).
Step 3: Count
There are 3 favourable outcomes out of 36.
Step 4: Probability
\(P=\frac{3}{36}=\frac{1}{12}\).
Final Answer:
The probability is 1/12. \[ \boxed{\text{(B) }\dfrac{1}{12}} \]
Two dice give 36 equally likely outcomes. Count the pairs (first, second) with sum 7 and second greater than first.
Step 2: List the favourable pairs
Sum 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1).
Second greater than first: (1,6), (2,5), (3,4).
Step 3: Count
There are 3 favourable outcomes out of 36.
Step 4: Probability
\(P=\frac{3}{36}=\frac{1}{12}\).
Final Answer:
The probability is 1/12. \[ \boxed{\text{(B) }\dfrac{1}{12}} \]
Was this answer helpful?
0
0
Top MHT CET Mathematics Questions
- The line $5x + y - 1 = 0$ coincides with one of the lines given by $5x^2 + xy - kx - 2y + 2 = 0 $ then the value of k is
- If $\int\frac{f\left(x\right)}{log \left(sin\,x\right)}dx = log\left[log\,sin\,x\right]+c$ then $f\left(x\right)=$
- If $\int\limits^{K}_0 \frac{dx}{2 + 18 x^2} = \frac{\pi}{24}$, then the value of K is
- If $\int^{\pi/2}_{0} \log\cos x dx =\frac{\pi}{2} \log\left(\frac{1}{2}\right)$ then $ \int^{\pi/2}_{0} \log\sec x dx = $
- The point on the curve $y = \sqrt{x - 1}$ where the tangent is perpendicular to the line $2x + y - 5 = 0 $ is
View More Questions
Top MHT CET Probability Questions
- If $r. v. x :$ waiting time in minutes for bus and $p.d.f.$ of $x$ is given by $f(x) = \begin{cases} \frac{1}{5} , & 0\le x\le5 \\[2ex] 0, & \text{otherwise} \end{cases}$ then probability of waiting time not more than $4$ minutes is = _______
- A die is thrown twice. If getting a number greater than four on the die is considered a success, then the variance of the probability distribution of the number of successes is
- If $r.v. X \sim B \left(n = 5, P=\frac{1}{3}\right)$ then $P(2 < X < 4) =$ ______________
- Given $ P(A \cup B ) = 0.6,P(A\cap B) = 0.2 $ , the probability of exactly one of the event occurs is
- From a group of $ 8 $ boys and $ 3 $ girls, a commitee of $ 5 $ members to be formed. Find the probability that $ 2 $ particular girls are included in the committe is
View More Questions
Top MHT CET Questions
- During r- DNA technology, which one of the following enzymes is used for cleaving DNA molecule ?
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- The temperature of $32^{\circ}C$ is equivalent to
- The line $5x + y - 1 = 0$ coincides with one of the lines given by $5x^2 + xy - kx - 2y + 2 = 0 $ then the value of k is
- The heat of formation of water is $ 260\, kJ $ . How much $ H_2O $ is decomposed by $ 130\, kJ $ of heat ?
View More Questions