Suppose you drop a die at random on the ...

Suppose you drop a die at random on the rectangular region shown in Figure. What is the probability that it will land inside the circle with diameter 1m?

Text Solution

Verified by Experts

The correct Answer is:

`pi/24`

Topper's Solved these Questions

PROBABILITY
KUMAR PRAKASHAN|Exercise EXERCISE 15.2 |5 Videos
PROBABILITY
KUMAR PRAKASHAN|Exercise TEST YOUR SKILLS |8 Videos
PROBABILITY
KUMAR PRAKASHAN|Exercise OTHER IMPORTANT EXAMPLES |3 Videos
POLYNOMIALS
KUMAR PRAKASHAN|Exercise OBJECTIVE QUESTIONS|26 Videos
QUADRATIC EQUATIONS
KUMAR PRAKASHAN|Exercise Test Your Skills|19 Videos

Similar Questions

Explore conceptually related problems

A missing helicopter is reported to have crashed somewhere in the rectangular region as shown in the figure. What is the probability that it crashed inside the lake shown in the figure?

From the employees of a company, 5 person are selected to repreent them in the managing committee of the company. Particular of five persons are as follows: {:("S.No.","Name ","sex","age in years"),(1.,"harish ",M,30),(2. , "Rohon",M,33),(3.,"sheetal",F,46),(4.,"Alis",F,28),(5. ,"Salim",M,41):} A person is selected at random from this group to act as a spokespersons. What is the probability that the spokespersons will be either male or over 35 years?

Suppose we throw a die once. (1) What is the probability of getting a number greater than 4? (in) What is the probability of getting a number less than or equal to 4?

One urn contains two black balls (labelled B_(1) and B_(2) ) and one white ball. A second urn contains one black ball and two white balls (labelled W_(1) , and W_(2) ). Suppose the following experiment is performed. One of the two urns is chosen at random. Next a ball is randomly chosen from the urn. Then a second ball is chosen at random from the same urn without replacing the first ball. (i) Write the sample space showing all possible outcomes (ii) What is the probability that two black balls are chosen ? (iii) What is the probability that two balls of opposite colour are chosen ?

A company has three plants at which it produces a certain item. 30% are produced at plant A, 50% at plant B and remaining at plant C. Suppose that 1% , 4% and 3% of the items produced at plants A, B and C respectively are defective. If an item is selected at random from all of those produced, what is the probability that item was produced at plant B is defective ?

A box contains N coins, m of which are fair and the rest are biased. The probability of getting a head when a fair coin is tossed is 1/2 while it is 2/3 when a biased coin is tossed. A coin is drawn from the box at random and is tossed twice. The first time it shows head and the second time it shows tail. What is the probability that the coin drawn is fair?

Suppose a girl throws a die. If she gets a 5 or 6, she tosses a coin three times and notes the number of heads. If she gets 1, 2, 3 or 4, she tosses a coin once and notes whether a head or tail is obtained. If she obtained exactly one head, what is the probability that she threw 1, 2, 3 or 4 with the die?

A ball of mass m is released from A inside a smooth wedge of mass m as shown in figure. What is the speed of the wedge when the ball reaches point B?

A wire having resistance 20 Omega is bent in the form of a circle as shown in the following figure: What will be the resistance between two end points A and B located on the diameter?

Assume that a dart will hit the dart board and each point on the dart board is equally likely to be hit in all the three concentric circles where radii of concetric circles are 3 cm, 2 cm and 1 cm as shown in the figure below. Find the probability of a dart hitting the board in the region A. (The outer ring)

KUMAR PRAKASHAN-PROBABILITY -EXERCISE 15.1

A bag contains lemon flavoured candies only. Malini takes out one c...
Text Solution
|
It is given that in a group of 3 students, the probability of 2 stu...
Text Solution
|
A bag contains 3 red balls and 5 black balls. A ball is drawn at ra...
Text Solution
|
A box contains 5 red marbles, 8 white marbles and 4 green marbles. One...
Text Solution
|
A piggy bank contains hundred 50p coins, fifty Rs. 1 coins, twenty ? ...
Text Solution
|
Gopi buys a fish from a shop for his aquarium. The shopkeeper takes o...
Text Solution
|
A game of chance consists of spinning an arrow which comes to rest ...
Text Solution
|
A die is thrown once. Find the probability of getting (i) a prime numb...
Text Solution
|
One card is drawn from a well-shuffled deck of 52 cards. Find the prob...
Text Solution
|
Five cardsthe ten, jack, queen, king and ace of diamonds, are well ...
Text Solution
|
12 defective pens are accidentally mixed with 132 good ones. It is ...
Text Solution
|
(i) A lot of 20 bulbs contain 4 defective ones. One bulb is drawn a...
Text Solution
|
A box contains 90 discs which are numbered from 1 to 90. If one disc ...
Text Solution
|
A child has a die whose six faces show the letters as given below: ...
Text Solution
|
Suppose you drop a die at random on the rectangular region shown in...
Text Solution
|
A lot consists of 144 ball pens of which 20 are defective and the o...
Text Solution
|
(1) Complete the following table : (2) A student argues that 'the...
Text Solution
|
A game consists of tossing a one rupee coin 3 times and noting its ...
Text Solution
|
A die is thrown twice. What is the probability that (i) 5 will not...
Text Solution
|
Which of the following arguments are correct and which are not corr...
Text Solution
|