Question Text
Question 1 :
Find the sample space for choosing a prime number less than $20$ at random.<br/>
Question 3 :
Two unbiased coins are tossed simultaneously. The probability of getting one head is
Question 4 :
Two dice are thrown simultaneously. Find the probability of getting the sum as a prime number.
Question 5 :
When the dice are thrown, the event $E = {4}$, then this event is called ____.<br/>
Question 6 :
An unbiased die is thrown. The probability of getting a multiple of $3$ is<br/>
Question 7 :
A card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a spade or a king ?
Question 8 :
If $P(A) = P(B)$, then the two events $A$ and $B$ are -<br/>
Question 10 :
A die is rolled, find the probability that an odd numbers is obtained.<br>
Question 11 :
If $f(x)=\left\{\begin{matrix}<br>4x, & x < 0\\ <br>1, & x=0\\<br>3x^2, & x > 0<br>\end{matrix}\right.$ then $\displaystyle \lim_{x\rightarrow 0}f(x)$ equals<br>
Question 13 :
Find the value of $\lim_{x \rightarrow 0} \dfrac{2x^2 + 3x + 4}{2}$
Question 17 :
$\underset { x\rightarrow 1 }{ Lt } { (1+\sin\pi x) }{ \pi x }$ 
Question 19 :
$\underset{x \rightarrow 0}{Lt}\dfrac{\sqrt{3 + x^5} - \sqrt{3 - x^5}}{\sin x} =$
Question 20 :
Find the value of k so that the function f is continuous at the indicated point.$f(x)={\begin{matrix} kx^2 & , x\leq 2 \\ 3 & , x>2 \end{matrix}}$ at $x=2$.