Statement-1 (A): A cubical die is rolled. The probability of gett… - Vidyadip

MCQ

Statement-1 (A): A cubical die is rolled. The probability of getting a composite number is $\frac{1}{3}$.
Statement-2 (R): In a throw of a cubical die, the probability of getting a prime number is $\frac{2}{3}$.

A
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
B
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-3
✓
Statement-1 is true, Statement-2 is false.
D
Statement-1 is false, Statement-2 is true.

✓

Answer

Correct option: C.

Statement-1 is true, Statement-2 is false.

c

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Assertion (A) & Reason (B) MCQ" from Probability→Probability — all question types→Maths STD 10 question papers→CBSE Board STD 10 question papers→CBSE Board question paper generator→

Similar questions

Directions : In the following questions, a statement of assertion $(A)$ is followed by a statement of reason $(R).$ Mark the correct choice as:
Assertion : From a solid cylinder, whose height is $12\ cm$ and diameter $10\ cm$ a conical cavity of same height and same diameter is hollowed out.Then, volume of the cone is $\frac{2200}{7}\text{ cm}^3$
Reason : If a conical cavity of same height and same diameter is hollowed out from a cylinder of height h and base radius r, then volume of the cone will be half of the volume of the cylinder.

Statement A (Assertion) : If HCF of two numbers is 13 and their product is $39 \times 91$, then their LCM is 273.
Statement R (Reason) : HCF of two coprime numbers is always $>1$.

Statement-1 (A): If the circumferences of two circles are in the raio $4: 5$, then their areas are in the ratio $16: 25$.
Statement-2 (R) : If the circumferences of two circles are in the ratio $C_1: C_2$, then their areas are in the ratio $C_1{ }^2: C_2{ }^2$.

Directions : In the following questions, the Assertions $(A)$ and Reason $(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion : If the pair of lines are coincident, then we say that pair of lines is consistent and it has a unique solution.
Reason : If the pair of lines are parallel, then the pair has no solution and is called inconsistent pair of equations.

Directions : In the following questions, the Assertions $(A)$ and Reason $(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion : If $a, b, c$ are in $A.P.,$ then $\frac{1}{\text{bc}},\frac{1}{\text{ac}},\frac{1}{\text{ab}}$ are also in $A.P.$
Reason : If a constant is added to each term of an $A.P.,$ then the resulting pattern of numbers is also an $A.P.$

Assertion (A): Mid-point of a line segment divides the line segment in the ratio 1:1.
Reason (R): The ratio in which the point (-3, k) divides the line segment joining the points (-5, 4) and (-2, 3) is 1: 2.

Statement-1 (A): A four digit number is formed using the digits 1, 2, 5, 6 and 8 without repetition. The probability that it is an even number is $\frac{3}{5}$.
Statement-2 (R): The units digit of even number is also an even number.

Statement-1 (A): HCF and LCM of two natural numbers are 25 and 815 respectively.
Statement-2 (R): LCM of two natural numbers is always divisible by their HCF.

Statement $A \ ($Assertion$)$ : The pair of linear equations $2 x-y-5=0$ and $x-y-3=0$ represent intersecting lines.
Statement $R\ ($Reason$)$ : The linear equations $2 x-y-5=0$ and $x-y-3=0$ meet the $y-$ axis at $(0,-5)$ and $(0,3)$ respectively.

Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion:$ (2+\sqrt{3}) (2-\sqrt{3})$ is irrational.
Reason: $(a + b)(a - b) = a^2 - b^2.$