One ticket is selected at random from 100 tickets numbered 00,01,… - Vidyadip

MCQ

One ticket is selected at random from 100 tickets numbered $00,01,02, \ldots, 99$. Suppose $x$ is sum of the digits and $y$ is product of the digits. Then, probability of getting $x=8$ and $y=0$ is

A
$\frac{2}{17}$
B
$\frac{3}{27}$
✓
$\frac{1}{50}$
D
$\frac{1}{25}$

✓

Answer

Correct option: C.

$\frac{1}{50}$

(c):Total number of possible outcomes $=100$
Sum of digits $=8$ and product $=0$
$\therefore \quad$ Favourable outcomes are 08 and 80 i.e., 2
$\therefore \quad$ Required probability $=\frac{2}{100}=\frac{1}{50}$

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 "M.C.Q (1 Marks)" from Probability→Probability — all question types→Maths STD 10 question papers→Gujarat Board STD 10 question papers→Gujarat Board question paper generator→

Similar questions

If $\triangle\text{ABC}$ is an equilateral triangle such that $\text{AD}\perp\text{BC},$ then $AD^2=$

The roots of the quadratic equation $100 x^2-20 x+1=0$ are

Find the four numbers in AP whose sum is $72$ and in which the greatest number is twice the least.

When the angle of elevation of the sun decreases from $60^{\circ}$ to $30^{\circ}$ the length of the shadow of the tower standing on the ground_____

If $\text{x}=\text{a}\sec\theta \text{ and y}=\text{b}\tan\theta,$ then $b^2x^2- a^2y^2=$

The area of the triangle formed by the lines $2x + 3y = 12, x - y - 1 = 0$ and $x = 0$.

If the height of the window is $8 m$ above the ground. A ladder is placed against the wall such that its top reaches the window. If angle ofelevation is observed to be $45^{\circ}$, then horizontal distance between the foot of ladder and wall is

The L.C.M is _______ of the smallest prime number and the smallest composite number.

If two of the zeros of the cubic polynomial $ax^3+ bx^2+ cx + d$ is $0$, then the third zeros is:

Mark the correct alternative in the following:
If the sum of first $n$ even natural numbers is equal to $k$ times the sum of first $n$ odd natural numbers, then $k =$