Advertisements
Advertisements
प्रश्न
Letters of the word MOTHER are arranged at random. Find the probability that in the arrangement vowels are never together
उत्तर
There are 6 letters in the word MOTHER, which can be arranged amongst themselves in 6P6 = 6! ways.
∴ n(S) = 6! = 720
Let B ≡ the event that vowels are not together
∴ B = `bar("A")`
∴ P(B) = `"P"(bar"A")`
= 1 – P(A)
= `1 - 1/3`
= `2/3`
APPEARS IN
संबंधित प्रश्न
A fair die is thrown two times. Find the probability that the product of numbers on them is 12.
Two cards are drawn from a pack of 52 cards. Find the probability that one is a face card and the other is an ace card
Two cards are drawn from a pack of 52 cards. Find the probability that both are from the same suit.
Two cards are drawn from a pack of 52 cards. Find the probability that one is a heart card and the other is a non-heart card
Three cards are drawn from a pack of 52 cards. Find the chance that all are from the same suit
Three cards are drawn from a pack of 52 cards. Find the chance that they are a king, a queen, and a jack
Find the probability of getting both red balls, when from a bag containing 5 red and 4 black balls, two balls are drawn, with replacement
Letters of the word MOTHER are arranged at random. Find the probability that in the arrangement O is at the begining and end with T
15 professors have been invited for a round table conference by Vice chancellor of a university. What is the probability that two particular professors occupy the seats on either side of the Vice chancellor during the conference
A bag contains 7 black and 4 red balls. If 3 balls are drawn at random find the probability that all are black
A bag contains 7 black and 4 red balls. If 3 balls are drawn at random find the probability that one is black and two are red.
Two fair dice are thrown. Find the probability that number on the upper face of the first die is 3 or sum of the numbers on their upper faces is 6
A bag contains 5 red, 4 blue and an unknown number m of green balls. If the probability of getting both the balls green, when two balls are selected at random is `1/7`, find m
Form a group of 4 men, 4 women and 3 children, 4 persons are selected at random. Find the probability that, exactly 2 men are selected
Select the correct option from the given alternatives :
There are 5 girls and 2 boys, then the probability that no two boys are sitting together for a photograph is
Select the correct option from the given alternatives :
Two dice are thrown simultaneously. Then the probability of getting two numbers whose product is even is
Select the correct option from the given alternatives :
There are 2 shelves. One shelf has 5 Physics and 3 Biology books and the other has 4 Physics and 2 Biology books. The probability of drawing a Physics book is
Select the correct option from the given alternatives :
Two friends A and B apply for a job in the same company. The chances of A getting selected is `2/5` and that of B is `4/7`. The probability that both of them get selected is
Solve the following:
A die is loaded in such a way that the probability of the face with j dots turning up is proportional to j for j = 1, 2, .......6. What is the probability, in one roll of the die, that an odd number of dots will turn up?
Solve the following:
A family has two children. One of them is chosen at random and found that the child is a girl. Find the probability that both the children are girls
Four persons work independently on a task. If the respective probabilities that they will solve it are 1/5, 1/3, 1/7, and 1/6, then the probability that none can solve it is ______
A coin is tossed 9 times. The probability of obtaining at most one head is ______
The probability that three cards drawn from a pack of 52 cards, all are red is ______.
An unbiased die with faces marked 1, 2, 3, 4, 5 and 6 is rolled four times. Out of four face values obtained, the probability that the minimum face value is not less than 2 and the maximum face value is not greater than 5, is ______.
Four mangoes and five apples are in a box. If two fruits are chosen at random, then find the probability that one is a mango and other is an apple ______.
A die is rolled. If X denotes the number of positive divisors of the outcome then the range of the random variable X is ______.
A die is thrown four times. The probability of getting perfect square in at least one throw is ______.
Probability of guessing correctly atleast 7 out of 10 answers in a ‘True’ or ‘False’ test is equal to ______.
The probability of India winning a test match against South Africa is 1/2 assuming independence form match to match played. The probability that in a match series India's second win occurs at the third day is ______.
