Question 1 :
Choose the correct alternative for each of the following. If $ \displaystyle P\left ( E_{1} \right )=\frac{1}{6} $, $ \displaystyle&nbsp; P\left ( E_{2} \right )=\frac{1}{3} $, $ \displaystyle&nbsp; P\left ( E_{3} \right )=\frac{1}{6} $,&nbsp;where $ E_{1} $, $ E_{2} $, $ E_{3} $, $ E_{4} $&nbsp;are elementary events of a random experiment, then P($ E_{4} $) is equal to<br>

Question 2 :
A glass jar contains $10$ red, $12$ green, $14$ blue and $16$ yellow marbles. If a single marble is chosen at random from the jar, find the sample space.<br/>

Question 3 :
Toss three fair coins simultaneously&nbsp;and record the outcomes. Find the probability of getting atmost one&nbsp;head in the three tosses.

Question 4 :
There are $20$ marbles in a bag and $10$ of them are blue. What is the probability that any $1$ marble drawn at random will not be blue?<br/>

Question 5 :
The outcomes of a random experiment are called _____ connected with the experiment.<br>

Question 8 :
<span>A die is thrown. The probability of getting an odd number is</span><br/>

Question 9 :
If a card is drawn from a pack of cards. The probability&nbsp;of getting black ace is

Question 10 :
<div><span>There are $30$ tickets numbered from $1$ to $30$ in a box. A ticket is drawn at random. What is the probability that the ticket drawn bears a number which is a perfect square?</span></div>

Question 11 :
What is the probability that a leap year has $53$ Sundays?

Question 12 :
<span>If three coins are tossed then find the probability of the events of getting exactly one tail.</span>

Question 13 :
What is the probability that a number selected from the numbers 1, 2, 3, 4, 5......,16 is a prime number ?

Question 14 :
If $\dfrac {1 + 3p}{3}, \dfrac {1 - p}{4}$ and $\dfrac {1 - 2p}{2}$ are mutually exclusive events. Then, range of $p$ is

Question 15 :
Let $A$ and $B$ be two events such that $P(\overline { A\cup B } )=\cfrac { 1 }{ 6 } ,P(A\cap B)=\cfrac { 1 }{ 4 } $ and $P(\overline { A } )=\cfrac { 1 }{ 4 } $, where $\overline { A } $ stands for complement of event $A$. Then, the events $A$ and $B$ are