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Three numbers are choosen at random without replacement from \( \left\{ 1,2,…,8 \right\} \).
The probability that their minimum is \( 3 \), given that their maximum is \( 6 \) _________.
One ticket is selected at random from \( 50 \) tickets numbered \(00,01,…, 49 \). Then, the probability that the sum of the digits on the selected ticket is \( 8 \), given that the product of these digits is zero equals_____
If \( A\text{ and }B \) be two events such that \( P(A)=\dfrac{1}{4}, P\left( \dfrac{A}{B} \right) \) and \(P\left( \dfrac{B}{A} \right)=\dfrac{2}{3} \). Then , \(P (B) \) is equal to______
If \( A \) die is thrown. If \( A \) is the event than the number obtained is greater than \( 3 \) and \( B \) is the event that the number obtained is less than \( 5 \). Then \( P (A \cup B) \) is______
One Indian and four American men and their wives are to be seated randomly around a circular table.
Then the conditional probability that the Indian man is seated adjacent to his wife given that each American man is seated adjacent to his wife is _________.
Two aeroplanes \( I\text{ and }II \) bomb a target in succession. The probabilities of \( I\text{ and }II \) scoring a hit correctly are \( 0.3\text{ and }0.2 \) respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is _________.
If \( P(A)=\dfrac{1}{12},\ P(B)=\dfrac{5}{12},\ P\left( \dfrac{B}{A} \right)=\dfrac{1}{15}\text{ then }P(A\cup B) \) is equal to_________.
Two cards from a pack of \( 52 \) cards are lost. One card is drawn from the remaining cards.
If drawn card is diamond then the probability that the lost cards were both hearts _________.
Two cards are lost.
Remaining Cards
Probability of diamond card
There are four machines and it is known that exactly two of them are faulty.They are tested, one by one, in a random order till both the faulty machines are identified. Then the probability that two tests are needed is _________.
Two unbiased dice are thrown. The probability that neither a doublet nor a total of \( 10 \) will appear is _______.
Two dice are thrown the events \( A, B \) are as follows \( A \): Getting an odd number on the first die, \( B \): Getting a total of \( 7 \) on the two die, then \( P(A \cup B) \) is equal to_________.
Two numbers are chosen from \( \left\{ 1,2,3,4,5,6 \right\} \) one after another with replacement. Find the probability that the smaller of the two is less than \( 4 \).
Choosing two number out of
Favorable cases to choose smaller number less than
Now,
The probability that when a hand of \( 7 \) cards is drawn from a wellshuffled deck of \(52 \) cards, it contains \( 3 \) kings is______
A ceratin company sells tractor which fail at a rate of \( 1 \text{ out of }1000. \)If \( 500 \) tractors are purchased from this company, what is the probability of \( 2 \) of them failing within first year _________.
The probability that in a random arrangement of the letters of the word ‘INSTITUTION’ the three T’s are together is _________.
INSTITUTION’ have letters.
Now, T’s are together.
So, total letter
A bag contains \( 5 \) brown and \( 4 \) socks. A man pulls out two socks. The probability that both the socks are of the same colour is _________.
On his vacation, Rahul vists four cities \( A,B,C\text{ and } D \) in a random order. The probability that he visits \( A\text{ first and } B\text{ last} \) is _________.
A dice is thrown. Find the probability of getting an even number is _________.
A bag contains \( 5 \) red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, then the number of blue balls in a bag is _________.
A box of \( 600 \) bulbs contains \( 12 \) defective bulbs. One bulb is taken out at random from this box. Then the probability that it is nondefective is _________.
A card is drawn from a well shuffled deck of \( 52 \) cards. Find the probability of getting a king of red suit.
A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the number \( 1,2,3…,12, \) then the probability that it will point to an odd number is _________.
Riya and Kajol are friends. Probability that both will have the same birthday is _________.
A number \( x \) choosen at random from the numbers \( 2,1,0,1,2 \). Then the probability that \( x^2 \) < \( 2 \) is _________.
A jar contains \( 24 \) marbles. Some are red and others are white. If a marble is drawn at random from the jar, the probability that it is red is \( \dfrac{2}{3} \), then the number of white marbles in the jar is _________.