Some more terms in probability - class-XI
Description: some more terms in probability | |
Number of Questions: 75 | |
Created by: Divya Kade | |
Tags: maths introduction of probability theory probability statistics statistics and probability |
The probability of obtaining an even prime number on each die, when a pair of dice is rolled is
If the letters of the word $"ATTEMPT"$ are written down at random. The probability that all the $T's$ come together is
The probability of getting number 10 in a throw of a dice is ____.
The probability of _____ event is 0.
The probability of ____ event is 1.
A bag contains $4$ red balls, $6$ blue balls and $3$ black balls. A ball is draw at random from the bag. What is the probability that the ball drawn is not blue?
The probability of a certain event is
If P(E) = 0 then E is a/an
The probability of an impossible event is
The event which cannot happen is called
Any subset of sample space is called
Which one of the following is an impossible event?
Choosing a queen from a deck of cards is an example of
The probability of an event which is sure to occur at every performance of an experiment is called a ___________.
The probability of an _____ is greater than or equal to $0$ and less than or equal to $1$.
The outcomes of a random experiment are called _____ connected with the experiment.
When the dice are thrown, the event $E = {4}$, then this event is called ____.
The sample space in the set representing an event more than one element is called
What is called one or more outcomes of an experiment?
A die is rolled, find the probability that an odd numbers is obtained.
An event which will not occur on any account is called an
While doing any experiment, there will be a possible outcome which is called
If $\phi$ represents an impossible event, then $P(\phi) =$ ?
Two cards are drawn from a single deck of $52$ cards one after the other. Find the probability of selecting a king from the first card and queen from the second card.
Toss three fair coins simultaneously and record the outcomes. Find the probability of getting atmost one head in the three tosses.
Which one of the following is correct?
Identify and write the like terms in each of the following groups.
(i) $ a^2, b^2, -2a^2 , c^2 , 4a$
$P\left(\dfrac{B}{ A}\right)$ is defined only when:
$P(A/ B')$ is defined only when
If $P(A) = 1$, then the event $A$ is known as
If $P(A) = 0$, then the event $A$
The probability of a sure event (or certain event) is ____
The probability of an event that is certain to happen is ____?
Tickets numbered from $1$ to $30$ are mixed up and then a ticket is drawn at random. What is the probability that the drawn ticket has a number which is divisible by both $2$ and $6$?
The number of ways in which $6$ men can be arranged in a row, so that three particular men are consecutive, is
If A and B are such events that $P(A)>0$ and $ P(B)\neq 1$ then $P\left(\dfrac{\bar{A}}{\bar{B}}\right)$ is equal to-
4 normal distinguishable dice are rolled once. The number of possible outcomes in which at least one dice shows up 2?
$8$ players compete in a tournament, every one plays everyone else just once. The winner of a game gets $1$, the loser $0$ or each gets $\dfrac{1}{2}$ if the game is drawn. The final result is that every one gets a different score and the player playing placing second gets the same as the total of four bottom players.The total score of all the players is
A fair die is thrown 3 times . The chance that sum of three numbers appearing on the die is less than 11 , is equal to -
The probability that a number selected at random from the numbers $1,2,3.......15$ is a multiple of $4$ is
Three letters, to each of which corresponds an envelope, are placed in the envelopes at random. The probability that all the letters are not placed in the right envelopes, is
A coin is tossed and a single $6$-sided die is rolled. Find the probability of landing on the tail side of the coin and rolling $4$ on the die.
The probability of getting number less than or equal to $6$, when a die is thrown once, is
Two dice are tossed once. The probability of getting an even number at the first die or a total of $8$ is
Calculate the probability that a number selected at random from the set {$2,3,7,12,15,22,72,108$} will be divisible by both $2$ and $3$.
Two similar boxes $B _{i}(i = 1, 2)$ contains $(i + 1)$ red and $(5 - i - 1)$ black balls. One box is chosen at random and two balls are drawn randomly. What is the probability that both the balls are of different colours?
Simone and her three friends were deciding how to pick the song they will sing for their school's talent show. They decide to roll a number cube.
The person with the lowest number chooses the song. If her friends rolled a 6, 5, and 2, what is the probability that Simone will get to choose the song?
A box contains $6$ green balls, $4$ blue balls and $5$ yellow balls. A ball is drawn at random. Find the probability of
(a) Getting a yellow ball.
(b) Not getting a green ball.
A researcher conducted a survey to determine whether people in a certain town prefer watching sports on television to attending the sporting event. The researcher asked 117 people who visited a local restaurant on a Saturday, and 7 people refused to respond. Which of the following factors makes it least likely that a reliable conclusion can be drawn about the sports-watching preferences of all people in the town?
Sita and Geta are friends, what is the probability that both will have different birthdays (ignoring a leap year)
The probability that an event does not happens in one trial is 0.8.The probability that the event happens atmost once in three trails is
If for two events $A$ and $B, P(A\cap B)\ne P(A) \times P(B)$, then the two events $A$ and $B$ are
A bag contains four tickets marked with $112, 121, 211, 222$, one ticket is drawn at random from the bag. Let $E _i(i=1, 2, 3)$ denote the event that $i^{th}$ digit on the ticket is $2$ then :
Two cards are drawn simultaneously from a well shuffled pack of $52$ cards. The expected number of aces is?
Probability of any event $x$ lies
Probability of impossible event is
Which one can represent a probability of an event
Probability of sure event is
If P(A) = P(B), then
In a single throw of die, what is the probability of getting a number greater than 3 ?
An urn contains 2 red, 3 green and 2 blue balls. If 2 balls are drawn at random, find the probability that no ball is blue.
If the chance that a vessel arrives safely at a port is $\dfrac 9{10}$ then what is the chance that out of $5$ vessels expected at least $4$ will arrive safely?
A box contains nine bulbs out of which $4$ are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.
A pot has $2$ white, $6$ black, $4$ grey and $8$ green balls. If one ball is picked randomly from the pot, what is the probability of it being black or green?
$10$ books are placed at random in a shelf. The probability that a pair of books will always be together is
A basket contains $6$ blue, $2$ red, $4$ green and yellow balls. If three balls are picked up at random, what is the probability that none is yellow ?
Successive trials in binomial distribution are
The probability that A speaks truth is $\dfrac35$ and that of B speaking truth is $\dfrac47$. What is the probability that they agree in stating the same fact?
If the occurrence of one event means that another cannot happen, then the events are
The probability of success of three students X,Y and Z in the one examination are $\dfrac15, \dfrac14$ and $\dfrac13$ respectively. Find the probability of success of at least two.
For the special rule of multiplication of probability, the events must be
In a simultaneous throw of two dice, what is the probability of getting a total of 10 or 11 ?
How many times must a man toss a fair coin, so that the probability of having at least one head is more than $80 \%?$
Calculate the probability that a spinner, having the numbers one through five evenly spaced, will land on an odd number exactly once if the spinner is used three times.
A bag contains $10$ balls, each labelled with a different integer from $1$ to $10$, inclusive. If $2$ balls are drawn simultaneously from the bag at random, calculate the probability that the sum of the integers on the balls drawn will be greater than $6$.