Advertisements
Advertisements
Question
A box contains 75 tickets numbered 1 to 75. A ticket is drawn at random from the box. Find the probability that, Number on the ticket is a perfect square
Solution
The box contains 75 tickets numbered 1 to 75.
∴ 1 ticket can be drawn from the box in 75C1 = 75 ways.
∴ n(S) = 75
Let event B: Number on the ticket is a perfect square.
∴ B = {1, 4, 9, 16, 25, 36, 49, 64}
∴ n(B) = 8
∴ P(B) = `("n"("B"))/("n"("S"))`
= `8/75`
APPEARS IN
RELATED QUESTIONS
There are four pens: Red, Green, Blue, and Purple in a desk drawer of which two pens are selected at random one after the other with replacement. State the sample space and the following event.
B: Two pens of the same color are not selected.
A coin and a die are tossed simultaneously. Enumerate the sample space and the following event.
A: Getting a Tail and an Odd number
A coin and a die are tossed simultaneously. Enumerate the sample space and the following event.
C: Getting a head and a perfect square.
Find n(S) of the following random experiment.
From an urn containing 5 gold and 3 silver coins, 3 coins are drawn at random
Find n(S) of the following random experiment.
5 letters are to be placed into 5 envelopes such that no envelope is empty.
Two fair dice are thrown. State the sample space and write favorable outcomes for the following event:
D: Even number on the first die.
From a bag containing 10 red, 4 blue and 6 black balls, a ball is drawn at random. Find the probability of drawing a red ball.
From a bag containing 10 red, 4 blue and 6 black balls, a ball is drawn at random. Find the probability of drawing a blue or black ball
From a bag containing 10 red, 4 blue and 6 black balls, a ball is drawn at random. Find the probability of drawing not a black ball.
A box contains 75 tickets numbered 1 to 75. A ticket is drawn at random from the box. Find the probability that, Number on the ticket is prime
A box contains 75 tickets numbered 1 to 75. A ticket is drawn at random from the box. Find the probability that, Number on the ticket is divisible by 3 and 5
A room has three sockets for lamps. From a collection 10 bulbs of which 6 are defective. At night a person selects 3 bulbs, at random and puts them in sockets. What is the probability that room is still dark
A room has three sockets for lamps. From a collection 10 bulbs of which 6 are defective. At night a person selects 3 bulbs, at random and puts them in sockets. What is the probability that the room is lit
Select the correct option from the given alternatives :
In a jar there are 5 black marbles and 3 green marbles. Two marbles are picked randomly one after the other without replacement. What is the possibility that both the marbles are black?
Select the correct option from the given alternatives :
In a set of 30 shirts, 17 are white and rest are black. 4 white and 5 black shirts are tagged as ‘PARTY WEAR’. If a shirt is chosen at random from this set, the possibility of choosing a black shirt or a ‘PARTY WEAR’ shirt is
Solve the following:
The letters of the word 'EQUATION' are arranged in a row. Find the probability that All the vowels are together
Solve the following:
The letters of the word 'EQUATION' are arranged in a row. Find the probability that Arrangement starts with a vowel and ends with a consonant
Solve the following:
If the letters of the word 'REGULATIONS' be arranged at random, what is the probability that there will be exactly 4 letters between R and E?
Solve the following:
In how many ways can the letters of the word ARRANGEMENTS be arranged? Find the chance that an arrangement chosen at random begins with the letters EE.
Solve the following:
In how many ways can the letters of the word ARRANGEMENTS be arranged? Find the probability that the consonants are together
Two integers are chosen at random and added. The probability that the sum is an even integer is ______
A player tosses 2 fair coins. He wins Rs. 5 If 2 heads appear, Rs. 2 If 1 head appear and Rs.1 if no head appears, then variance of his winning amount is ______.
One page is randomly selected from a book containing 100 pages. The probability that the sum of the digits of the page number of the selected page is 9, is ______.
Three randomly chosen non-negative integer x, y and z are found to satisfy the equation x + y + z = 10. Then, the probability that z is even, is ______.
