MCQ
Two dice are thrown together. The probability of getting the same number on both dice is
- A$\frac{1}{2}$
- B$\frac{1}{3}$
- ✓$\frac{1}{6}$
- D$\frac{1}{12}$
✓
Answer
Correct option: C.
$\frac{1}{6}$
(c)
Total number of all possible outcomes $=6 \times 6$ $=36$.
Getting same number on both dice means getting $(1,1),(2,2),(3,3),(4,4),(5,5)$ and $(6,6)$.
$=$ Total number of pairs $=6$
$\therefore$ Required probability $=\frac{6}{36}=\frac{1}{6}$
Total number of all possible outcomes $=6 \times 6$ $=36$.
Getting same number on both dice means getting $(1,1),(2,2),(3,3),(4,4),(5,5)$ and $(6,6)$.
$=$ Total number of pairs $=6$
$\therefore$ Required probability $=\frac{6}{36}=\frac{1}{6}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
How many bricks each measuring $( 25 \ cm \times 11.25 \ cm \times 6 \ cm )$ will be required to construct a wall $( 8 m \times 6 m \times 22.5 \ cm )$?
→In a single throw of two dice, the probability of getting 6 as a product of two numbers obtained is
If the mid point of the line segment joining $A(x, y+1)$ and $B(x+1, y+2)$ is $C(3 / 2,5 / 2)$, then $x$ and $y$ respectively are
→If $\tan\theta=\frac{1}{\sqrt{7}},$ then $\frac{\text{cosec}^2\theta-\sec^2\theta}{\text{cosec}^2\theta+\sec^2\theta}=$
→A metallic spherical shell of internal and external diameters $4 \ cm$ and $8 \ cm$ respectively, is melted and recast into the form of a cone of base diameter $8 \ cm .$ The height of the cone is
→In the given figure, a circle is inscribed in a quadrilateral ABCD touching its sides AB, BC, CD and AD at P, Q, R and S respectively. If the radius of the circle is 10cm, BC = 38cm, PB = 27cm and $\text{AD} \perp \text{CD}$ then the length of CD is:
→Three coins are tossed si multaneously. What is the probability of getting exactly two heads?
The sum of first $n$ positive integers is :
→Which of the following equations has no real roots?
Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the dice is $7$ is
→