AP EAMCET · Maths · Probability
In the random experiment of tossing two unbiased dice let \(E\) be the event of getting the sum 8 and \(F\) be the event of getting even numbers on both the dice. Then :
I. \(P(E)=\frac{7}{36}\)
II. \(P(F)=\frac{1}{3}\)
Which of the following is a correct statement?
- A Both I and II are true
- B Neither I nor II is true
- C I is true, II is false
- D I is false, II is true
Answer & Solution
Correct Answer
(B) Neither I nor II is true
Step-by-step Solution
Detailed explanation
\(E=\) Event of getting the sum 8 . \(=\{(2,6),(3,5),(4,4),(5,3),(6,2)\}\) and \(F=\) Event of getting the even numbers on both the dice. \(=\{(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)\}\) \(\therefore \quad P(E)=5 \quad\) and \(\quad P(F)=6\) also \(\quad n(S)=36\)…
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 in a \(\triangle A B C, r_1=2, r_2=3\) and \(r_3=6\), then \(a\) equals toAP EAMCET 2014 Hard
- On an average if one out of 100 electric bulbs produced by a Company is found to be defective, then the probability that there are at least two defective bulbs in a consignment of 600 bulbs, isAP EAMCET 2017 Medium
- The function \(f: C \rightarrow C\) defined by \(f(x)=\frac{a x+d}{c x+d}\) for \(x \in C\) where \(b d \neq 0\) reduces to a constant function, ifAP EAMCET 2005 Easy
- If the sum of the roots of the quadratic equations is 1 and sum of the squares of the roots is 13 , then find that equation.AP EAMCET 2020 Easy
- Consider the following statements
Statement-I : A function \(\mathrm{f}: \mathrm{A} \rightarrow \mathrm{B}\) is said to be one-one if and only if \(f(x) \neq f(y) \Rightarrow x \neq y\)
Statement-II : A relation \(f: A \rightarrow B\) is said to be a function if \(x \neq y \Rightarrow f(x) \neq f(y)\)
Then which one of the following is true ?AP EAMCET 2025 Easy - In a \(\triangle A B C, \cos \left(\frac{B+2 C+3 A}{2}\right)+\cos \left(\frac{A-B}{2}\right)\) is equal toAP EAMCET 2004 Medium
More PYQs from AP EAMCET
- What is the oxidation state of in the sulphur containing product of the following reaction?AP EAMCET 2022 Easy
- The period of \(f(x)=\cos \left(\frac{x}{3}\right)+\sin \left(\frac{x}{2}\right)\) isAP EAMCET 2013 Easy
- Complete combustion of ethane gives only gaseous products. In a closed vessel, 15 g of ethane and 112 g of \(\mathrm{O}_2\) were allowed to completely react. What is the total number of moles of gaseous substances present in the vessel at the end of the reaction?AP EAMCET 2025 Medium
- A light of frequency \(1.6 \times 10^{16} \mathrm{~Hz}\) when falls on a metal plate emits electrons that have double the kinetic energy compared to the kinetic energy of emitted electrons when frequency of \(1.0 \times 10^{16} \mathrm{~Hz}\) falls on the same plate. The threshold frequency \(\left(v_0\right)\) of the metal in \(\mathrm{Hz}\) isAP EAMCET 2018 Hard
- If a real valued function \(f\) is defined by \(f(x)=\) \(\frac{a x+\sqrt{a^2-x^2}}{b x}\), then \(f\) isAP EAMCET 2023 Easy
- The correct order of first ionisation enthalpy of group-13 elements isAP EAMCET 2017 Easy