TS EAMCET · Maths · Probability
If two biased dice are rolled simultaneously until a sum of the number appeared on these dice is either 7 or 11 , then the probability that 7 comes before 11 , is
- A \(\frac{3}{8}\)
- B \(\frac{3}{4}\)
- C \(\frac{5}{6}\)
- D \(\frac{2}{9}\)
Answer & Solution
Correct Answer
(B) \(\frac{3}{4}\)
Step-by-step Solution
Detailed explanation
Let \(A\) be the events sum appeared on two unbiased dice is 7 and \(B\) be the event sum appeared on two unbiased dice is either 7 or 11 . \[ \therefore P(A)=\frac{6}{36}, P(B)=\frac{6}{36}+\frac{2}{36}=\frac{2}{9} \] \(\therefore\) 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 \(3 \sin (\alpha-\beta)=5 \cos (\alpha+\beta)\) and \(\alpha+\beta \neq \frac{\pi}{2}\), then \(\frac{\tan \left(\frac{\pi}{4}-\alpha\right)}{\tan \left(\frac{\pi}{4}-\beta\right)}=\)TS EAMCET 2025 Medium
- Let \(f\) and \(g\) be two differentiable functions satisfying \(g^{\prime}(5)=\frac{3}{4}, g(5)=6\) and \(g=f^{-1}\). Then \(f^{\prime}(6)\) is equal toTS EAMCET 2021 Easy
- A line meets the coordinate axes at \(A\) and \(B\). If the perpendicular distances from \(A\) and \(B\) to the tangent drawn at the origin to the circumcircle of \(\triangle O A B\) are \(m\) and \(n\) respectively, then the diameter of that circle IsTS EAMCET 2019 Hard
- When \(3^{2023}\) is divided by 16 , the remainder obtained isTS EAMCET 2023 Easy
- The standard deviation of \(a, a+d, a+2 d, \ldots, a+2 n d\) isTS EAMCET 2016 Easy
- If \(\operatorname{Lt}_{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}=e^x(x+1)\) and \(f(0)=0\), then \(\frac{d}{d x}\left(f(x) e^{-x}\right)+\frac{d}{d x}\left(\frac{f(x)}{x}\right)=\)TS EAMCET 2020 Easy
More PYQs from TS EAMCET
- Suppose \(X\) follows a binomial distribution with parameters \(n\) and \(p\), where \(0 < p < 1\). If \(\frac{P(X=r)}{P(X=n-r)}\) is independent of \(n\) for every \(r\), then \(p\) is equal toTS EAMCET 2012 Medium
- When \(a\) is irrational, the number of solutions satisfying the equation \(1+\sin ^2 a x=\cos x\) isTS EAMCET 2018 Easy
- The number of unpaired electrons in \(\mathrm{Co}^{2+}\), isTS EAMCET 2021 Easy
- The equation of a transverse wave propagating on a stretched string is given by \(y=3 \sin (4 x+200 \mathrm{t})\), where \(x\) and \(y\) are in metre and the time ' t ' is in second. If the tension applied to the string is 500 N, the linear density of the string isTS EAMCET 2025 Medium
- Identify all the correct statements for Lanthanide contraction. (A) The covalent properties of the Lanthanide metal hydroxides increases from \(\mathrm{La}\) to \(\mathrm{Lu}\). (B) The chemical reactivity decreases from \(\mathrm{La}\) to \(\mathrm{Lu}\). (C) \(\mathrm{La}(\mathrm{OH})_3\) is more basic than \(\mathrm{Lu}(\mathrm{OH})_3\) (D) Zr and Hf have about the same radius. (E) Separation of Lanthanides from one another is easyTS EAMCET 2022 Hard
- A stone falls freely under gravity. It covers distance, and, in the first , seconds, and the next, seconds respectively. The ratio isTS EAMCET 2021 Easy