Question 1 :
Two dice are thrown. Find the odds in favour of getting the sum $$4$$.<br/>

Question 4 :
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 5 :
A die is thrown .The probability that the number comes up even is ______ .

Question 6 :
What is the maximum value of the probability of an event?

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

Question 8 :
One hundred identical coins each with probability p as showing up heads are tossed. If $$0 &lt; p &lt; 1$$ and the probability of heads showing on 50 coins is equal to that of heads on 51 coins, then the value of p is

Question 9 :
If the odd in favour of an event are $$4$$ to $$7$$, find the probability of its no occurence.

Question 10 :
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 12 :
For a biased die the probabilities for the different faces to turn up are given below :<br/>$$\begin{array} { l l l l l } {Face} \quad \quad\quad \quad&#160; { 1} &amp; { 2 } &amp; { 3 } &amp; { 4 } &amp; { 5 } &amp; { 6 } \\ {Probabilities} { 0.10 } &amp; { 0.32 } &amp; { 0.21 } &amp; { 0.15 } &amp; { 0.05 } &amp; { 0.17 } \end{array}$$<br/>The die is tossed &amp; you are told that either face one or face two has turned up. Then the probability that it is face one is :&#160;

Question 13 :
If two letters are taken at random from the word HOME, what is the probability that none of the letters would be vowels?<br/>

Question 14 :
If the odds in favour of winning a race by three horses are $$1 : 4, 1 : 5$$ and $$1 : 6$$, find the probability that exactly one of these horses will win.

Question 15 :
A problem in statistics is given to three students A, B and C whose chances of solving it independently are $$\dfrac{1}{2}, \dfrac{1}{3}$$ and $$\dfrac{1}{4}$$ respectively. The probability that the problem will be solved is

Question 16 :
In a group of $$13$$ cricket players, four are bowlers. Find out in how many ways can they form a cricket team of $$11$$ players in which atleast $$2$$ bowlers are included.

Question 17 :
If $$2$$ cards are drawn from a pack of $$52$$, then the probability that they are from the same suit is___

Question 18 :
A man and his wife appear for an interview for two posts. The probability of the man's selection is $$\dfrac{1}{5}$$ and that of his wife selection is $$\dfrac{1}{7}$$. The probability that at least one of them is selected, is:

Question 19 :
Each of a and b can take values 1 or 2 with equal probability. The probability that the equation $$ax^2 + bx + 1 = 0$$ hasreal roots, is equal to