# Geometrical Probability

## Trending Questions

**Q.**

A missing helicopter is reported to have crashed somewhere in the rectangular region shown below. Find the probability of it crashing in the lake.

- 429
- 0
- 328
- 527

**Q.**

Question 2

3 × 10000 + 7 × 1000 + 9 × 100 + 0 ×10 + 4 is the same as:

(A) 3794

(B) 37940

(C) 37904

(D) 379409

**Q.**

Indians, Egyptians, Europeans and Australians reside in a village of area 200km2. If the area is equally divided among the four civilizations, what is the probability that a particular person lands on the land occupied by Indians or Europeans?

**Q.**

If given a dart board of radius 50 cm. What is the probability that you hit the bull's eye of radius 5 cm?

1

11000

1100

110

**Q.**

Question 42

0.5

**Q.**

In a circular dartboard of radius 25cm, there are 5 concentric circles. the radius of each inner concentric circle is 5 cm less than the outer concentric circle. Find the probability that a dart hits anywhere in the smallest circle assuming that the dart doesn't hit on the boundary of any circle.

1π

1

15

125

**Q.**A bag contains 4 black, 6 white and 8 red balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is:

i) white

ii) not red

iii) red or white

iv) red and white

v) neither black nor white

vi) either red or black

[6 MARKS]

**Q.**

Indians , Egyptians , Europeans and Australians are residing in a village of area 200 km2. If the area is equally divided between the four countries, what is the probability that a particular person who lands in the village, finds himself in the area occupied by either Indians or Europeans?

0.60

0.33

0.45

0.50

**Q.**

Given above is a figure of a dartboard, where the length and the breadth of the rectangle are respectively 7 feet and 6 feet, and the radius of the circle is 2 feet. The probability that a point chosen from the given figure lies inside the circle is:

π42

4π21

2π21

π21

**Q.**Given a dart board of radius 50 cm, the probabilityof hitting the bull's eye of radius 5 cm is

- 1
- 0.1
- 0.01
- 0.2

**Q.**Given a dart board of radius R cm, the probability that you hit the bull's eye of radius r cm is

- Rr
- rR
- r2R2

**Q.**

Indians , Egyptians , Europeans and Australians are residing in a village of area 200 km2. If the area is equally divided between the four countries, what is the probability that a particular person who lands in the village, finds himself in the area occupied by either Indians or Europeans?

0.60

0.33

0.45

0.50

**Q.**

In a circular dartboard of radius 20 cm, there are 5 concentric circles. The radius of each successive inner concentric circle is 4 cm less than the preceding the outer concentric circle. What is the probability that the dart hits the smallest circle?

0

**Q.**Tap on the region in which the probability of finding a crashed plane is 19.

**Q.**

Indians , Egyptians , Europeans and Australians are resided in a village of area 200km2. If the area is equally divided among the four civilizations, what is the probability that a particular person lands on the land occupied by Indians or Europeans?

**Q.**

What is the probability that you land on the land occupied by Indians or Europeans or Egyptians, if Indians , Egyptians , Europeans and Australians resided in a village of area 100km2 which is equally divided among the four civilizations?

1.00

0.75

0.50

0.25

**Q.**If the radius of outer circle is x times radius of inner circle, then the probability that a dart hits the inner circle is 1x2

- True
- False

**Q.**

Shooters are required to shoot at a circular shaped target. The target is fixed onto a rectangular board with dimensions 44 cm×21 cm. Assuming that all the bullets must hit the rectangular board, what is the probability that the bullets hit the circular target? (Given that the radius of the circle is 7 cm. )

0

12

37

16

**Q.**

Write the predecessor and successor of $997$.

**Q.**A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 and these are equally likely outcomes. What is the probability that it will point at:

(ii) an odd number.

**Q.**

In a circular dartboard of radius 20 cm, there are 5 concentric circles. the radius of each inner concentric circle is 4 cm less than the outer concentric circle. Find the probability that a dart hits anywhere in the smallest circle assuming that the dart doesn't hit on the boundary of any circle.

15

125

1π

0

**Q.**Tap on the region in which the probability of finding a crashed plane is 19.

**Q.**The Probability distribution of X, the number of defects per 10 meters of a fabric is given by

x | 0 | 1 | 2 | 3 | 4 |

P(X=x) | 0.45 | 0.35 | 0.15 | 0.03 | 0.02 |

**Q.**A chopper was found missing allegedly in the area shown below:

What is the probability it crashed into the lake?

- 0.25
- 0.185
- 0.352
- 0.5

**Q.**There is a circle with inner radius of 4 cm and outer radius of 6 cm. A coin is tossed onto this circle. What is the probability of the coin falling outside the smaller circle but inside the bigger circle?

- 23
- 49
- 59
- 79

**Q.**Difference between mean and variance of a Binomial variate is ′1′ and difference between their squares is ′11′. Find the probability of getting exactly three success

**Q.**A bag consists of 7 red balls, 9 white balls and 8 green balls. Three balls are taken out of the bag at random one-by-one. What is the probability that the third ball is neither green nor white if the first two balls are red?

**Q.**A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 and these are equally likely outcomes. What is the probability that it will point at:

(iii) a number greater than 2

**Q.**A missing helicopter is reported to have crashed somewhere in the rectangular region shown below. Find the probability of it crashing in the lake.

- 429
- 0
- 328
- 527

**Q.**10p+10=100