Question 1 :
A pair of dice is thrown once The probability that the sum of the outcomes is less than 11 is
Question 2 :
If $P(A) = \dfrac{5}{9}$, then the odds against the event $A$ is
Question 3 :
The probability of an event $A$ lies between $0$ and $1$, both inclusive. Which mathematical expression best describes this statement?<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 :
What is the maximum value of the probability of an event?
Question 6 :
A biased coin with probability $p , 0 < p < 1 ,$ 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 7 :
The probability of guessing the correct answer to a certain test is $\displaystyle\frac{x}{2}$. If the probability of not guessing the correct answer to this questions is $\displaystyle\frac{2}{3}$, then $x$ is equal to ______________.
Question 10 :
A die is thrown .The probability that the number comes up even is ______ .
Question 11 :
Out of the digits $1$ to $9$, two are selected at random and one is found to be $2$, the probability that their sum is odd is
Question 12 :
A coin is tossed $400$ times and the data of outcomes is below:<span class="wysiwyg-font-size-medium"> <span class="wysiwyg-font-size-medium"><br/><table class="wysiwyg-table"><tbody><tr><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center">Outcomes </p></td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center">$H$</p></td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center">$T$</p></td></tr><tr><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center">Frequency</p></td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center">$280$</p></td><td><span class="wysiwyg-font-size-medium"><br/> <p class="wysiwyg-text-align-center">$120$</p></td></tr></tbody></table><p><br/></p><p>Find:</p><p>(i) $P(H)$, i.e., probability of getting head</p><p>(ii) $P (T)$, i.e., probability of getting tail. </p><p>(iii) The value of $P (H) + P (T)$.</p>
Question 13 :
The probability expressed as a percentage of a particular occurrence can never be
Question 14 :
If the probability of the occurrence of an event is P then what is the probability that the event doesn't occur.
Question 16 :
A pair of dice is thrown. Find the probability of getting a sum of $8$ or getting an even number on both the dices.
Question 17 :
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 18 :
Ticket numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5 ?
Question 19 :
Two dice are thrown. Find the odds in favour of getting the sum $4$.<br/>
Question 20 :
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 21 :
The probability of an event happening and the probability of the same event not happening (or the complement) must be a <br/>
Question 22 :
A fair dice has faces numbered $0, 1, 7, 3, 5$ and $9$. If it is thrown, the probability of getting an odd number is
Question 23 :
If the odd in favour of an event are $4$ to $7$, find the probability of its no occurence.
Question 25 :
According to the property of probability, $P(\phi) = 0$ is used for <br>
Question 26 :
A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the number between 1 to 15. What is the probability that it will point to an odd number.
Question 27 :
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 28 :
Two dices are thrown simultaneously. What is the probability of getting two numbers whose product is even?
Question 29 :
Two cards are drawn at random from a pack of $52$ cards. The probability of these two being "Aces" is
Question 30 :
If the odd in favour of an event are $4$ to $7$, find the probability of its occurrence.
Question 31 :
Two numbers are selected at random from integers $1$ through $9$. If the sum is even, what is the probability that both numbers are odd?
Question 32 :
The sum of the probabilities of the distinct outcomes within a sample space is
Question 33 :
In a ODI cricket match, probability of loosing the game is $\dfrac{1}{4}$. What is the probability of winning the game ?
Question 34 :
There are three events $A, B$ and $C$ one of which must and only one can happen ; the odds are $8$ to $3$ against A, the odds are $5$ to $2$ against $B$, find odds against $C$.
Question 35 :
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 36 :
A box contains $9$ tickets numbered $1$ to $9$ inclusive. If $3$ tickets are drawn from the box without replacement. The probability that they are alternatively either {odd, even, odd} of {even, odd, even} is
Question 37 :
The chance of an event happening is the square of the chance of a second event but the odds against the first are the cube of the odds against the second.The chances of the events are
Question 38 :
The odds in the favour of an event are $3 : 5$.The probability of occurrence of the event is?