TS EAMCET · Maths · Probability
If a die is rolled twice and the sum of the numbers appearing on them is observed to be 6 , then the probability that the number 1 appears atleast once on them is
- A \(\frac{5}{36}\)
- B \(\frac{2}{5}\)
- C \(\frac{11}{36}\)
- D \(\frac{1}{3}\)
Answer & Solution
Correct Answer
(B) \(\frac{2}{5}\)
Step-by-step Solution
Detailed explanation
Consider the events \(A=\) Sum of the number appearing on them is 6 . \(B=\) Number 1 appears atleast once \[ \begin{aligned} & P(A)=\frac{5}{36} P(B)=\frac{11}{36} \\ & P(A \cap B)=\frac{2}{36} \\ & \end{aligned} \] \(\therefore\) Required probability…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If \(f(x)=\left|\begin{array}{ccc}x & x+1 & x+3 \\ x+2 & x+4 & x+7 \\ x+6 & x+9 & x+13\end{array}\right|\), then \(f(5)=\)TS EAMCET 2022 Easy
- A die is rolled times. Getting an odd number in one trail is considered as a success. The variance of the distribution of successes isTS EAMCET 2021 Medium
- In a triangle ABC, if \(\overline{\mathrm{BC}}=\bar{i}-2 \bar{j}+2 \bar{k}\) and \(\overline{\mathrm{CA}}=6 \bar{i}+3 \bar{j}-2 \bar{k}\), then the perimeter of the triangle isTS EAMCET 2025 Medium
- Let \(P\) represent the point \((3,6)\) on the parabola \(y^2=12 x\). For the parabola \(y^2=12 x\), if \(l_1\) is the length of the normal chord drawn at \(P\) and \(l_2\) is the length of the focal chord drawn through \(P\), then \(\frac{l_1}{l_2}=\)TS EAMCET 2019 Easy
- If \(h k p q \neq 0\) and the circles \(x^2+y^2+2 h x+2 k y=0\) and \(x^2+y^2+2 p x+2 q y=0\) touch each other at the origin, then \(h q-p k-\frac{h q}{p k}\) is equal toTS EAMCET 2021 Easy
- The roots \(\begin{aligned} & (x-a)(x-a-1)+(x-a-1)(x-a-2) \ & +(x-a)(x-a-2)=0, a \in R \text { are always } \end{aligned}\)TS EAMCET 2009 Easy
More PYQs from TS EAMCET
- A line \(L\) is parallel to both the planes \(2 x+3 y+z=1\) and \(x+3 y+2 z=2\). If line \(L\) makes an angle \(\alpha\) with the positive direction of X-axis, then \(\cos \alpha=\)TS EAMCET 2023 Medium
- Which one of the following sets correctly represents the increase in the paramagnetic property of the ions?TS EAMCET 2009 Easy
- Let the vectors \(\overline{A B}=2 \hat{i}+2 \hat{j}+\hat{k}\) and \(\overline{A C}=2 \hat{i}+4 \hat{j}+4 \hat{k}\) be two sides of a triangle \(A B C\). If \(G\) is the centroid of \(\triangle A B C\), then \(\frac{22}{7}(\overline{A G})^2+5=\)TS EAMCET 2022 Medium
- If \(z\) is complex number such that \(\left|z-\frac{4}{z}\right|=2\), then the greatest value of \(|z|\) isTS EAMCET 2012 Medium
- The solutions of the equation \(z^2\left(1-z^2\right)=16\), \(z \in \mathbf{C}\), lie on the curveTS EAMCET 2020 Medium
- Let \(A\) be a vertex of the ellipse \(S \equiv \frac{x^2}{4}+\frac{y^2}{9}-1=0\) and \(F\) be a focus of the ellipse \(S^{\prime} \equiv \frac{x^2}{9}+\frac{y^2}{4}-1=0\). Let \(P\) be a point on the major axis of the ellipse \(S^{\prime}=0\), which divides \(\overline{O F}\) in the ratio \(2: 1\) ( \(O\) is the origin). If the length of the chord of the ellipse \(S=0\) through \(A\) and \(P\) is \(\frac{3 \sqrt{101}}{k}\), then \(k=\)TS EAMCET 2018 Medium