Question 1 :
Vineeta said that probability of impossible events is $1$. Dhanalakshmi said that probability of sure events is $0$ and Sireesha said that the probability of any event lies between $0$ and $1$.<br>in the above, with whom will you agree?

Question 2 :
According to the property of probability, $P(\phi) = 0$ is used for <br>

Question 3 :
The probability of an event happening and&#160;the probability of the same event not happening (or the&#160;complement) must be a <br/>

Question 4 :
If I calculate the probability of an event and it turns out to be $7$, then I surely know that<br/>

Question 5 :
A die is thrown .The probability that the number comes up even is ______ .

Question 6 :
If the events $A$ and $B$ mutually exclusive events such that $P(A)=\dfrac {1}{3}(3x+1)$ and $P(B)=\dfrac {1}{4}(1-x)$, then the aet of possible values of $x$ lies in the interval:

Question 7 :
Two dice are thrown. Find the odds in favour of getting the sum $4$.<br/>

Question 8 :
A fair dice has faces numbered $0, 1, 7, 3,&#160;5$ and $9$. If it is thrown, the probability of&#160;getting an odd number is

Question 9 :
A bulb is taken out at random from a box of 600 electricbulbs that contains 12 defective bulbs. Then theprobability of a non-defective bulb is

Question 10 :
A pair of dice is thrown once The probability that the sum of the outcomes is less than 11 is

Question 11 :
What is the maximum value of the probability of an event?

Question 12 :
A biased coin with probability $p , 0 &lt; p &lt; 1 ,$ of heads is tossed until a head appears for thefirst time. If the probability that the number of tosses required is even, is $2 / 5 ,$ then $p$ equal to

Question 14 :
A bag contains 5 blue and 4 black balls. Three balls are drawn at random. What is the probability that 2 are blueand 1 is black?

Question 16 :
Three dice of colours red, blue and green are rolled together. Let $A$ be the event that red die shows the number $1$ and $B$ be the event that the sum.Find probability of the event A.

Question 17 :
Three different numbers are selected at random from the set $A = \{1,2,3, ...... 10 \}$. The probability that the product of two of the numbers is equal to third is :<br/>

Question 18 :
A card is drawn from an ordinary pack of $52$ cards and a gambler bets that it is a spade or an ace. What are the odds against his winning the bet?<br/>

Question 19 :
The chance of an event happening is the square of the chance of a second event but the odds against the first are the cubes of the odds against the second. The chance of happening of each event are

Question 20 :
In a box, there are $8$ red, $7$ blue and $6$ green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

Question 21 :
One of the two events, A and B must occur. If&#160;$P\left ( A \right )=\dfrac{2}{3}P\left ( B \right ),$ the odds in favour of $B$ are

Question 22 :
$(a)$ The probability that it will rain tomorrow is $0.85$. What is the probability that it will not rain tomorrow?<br><br>$(b)$ If the probability of winning a game is $0.6$, what is the probability of losing it?

Question 23 :
Four positive integers are taken at random and are multiplied together. Then the probability that the product ends in an odd digit other than 5 is

Question 24 :
The odds against a certain events are $5:2$ and the odds in favour of another events are $6:5$. The probability that at least one of the events will happens is:

Question 25 :
Results on the bar exam of Law School Graduates<br/><table class="wysiwyg-table"><tbody><tr><td></td><td>Passed bar exam</td><td>Did not pass bar exam</td></tr><tr><td>Took review course</td><td>18</td><td>82</td></tr><tr><td>Did not take review course</td><td>7</td><td>93</td></tr></tbody></table>The table above summarizes the results of $200$ law&#160;school graduates who took the bar exam. If one of&#160;the surveyed graduates who passed the bar exam is&#160;chosen at random for an interview, what is the&#160;probability that the person chosen did not take the&#160;review course?<br/>

Question 26 :
A family is going to choose two pets at random from among a group of four animals: a cat, a dog, a bird, and a lizard. Find the probability that the pets that the family chooses will include the lizard.

Question 27 :
$P(A\cap B) = \dfrac{1}{2}, P(\overline{A} \cap \overline{B})=\dfrac{1}{2}$ and $2P(A)=P(B)=p$, then the value of $p$ is equal to

Question 28 :
There are 5 letters and 5 different envelopes. The number of ways in which all the letters can be put in wrong envelope, is.

Question 29 :
The $2013$ U.S. Census recorded the highest educational attainment of all adults aged $25$ years or older in country $T$, one of the most educated parts of the country. The results are given in the two-way table below.<br/><table class="wysiwyg-table"><tbody><tr><td></td><td>Men</td><td>Women</td><td>Total</td></tr><tr><td>High School Diploma</td><td>7535</td><td>7234</td><td>14769</td></tr><tr><td>Bachelor's Degree</td><td>17170</td><td>23455</td><td>40625</td></tr><tr><td>Master's Degree</td><td>45105</td><td>41078</td><td>86183</td></tr><tr><td>Professional Degree</td><td>23501</td><td>23405</td><td>46906</td></tr><tr><td>Doctoral Degree</td><td>16232</td><td>15817</td><td>32049</td></tr><tr><td>Total</td><td>10953</td><td>110989</td><td>220532</td></tr></tbody></table>According to the data presented in the table above, if one was told to choose a person at random out of the entire population aged $25$ years or older in country $T$, find the percentage probability that the person he/she chooses turns out to be a man with a doctoral degree.

Question 30 :
What are the odds in favour of throwing at least $8$ in a single throw with two dice?<br>