A basket contains 10 apples and 20 oranges out of which 3 apples and 5 oranges a

CuriousTab

Home Aptitude

Discussion

Home ‣ Aptitude ‣ Probability See What Others Are Saying!

Question
A basket contains 10 apples and 20 oranges out of which 3 apples and 5 oranges are defective. If we choose two fruits at random, what is the probability that either both are oranges or both are non defective?
Options
A. 136/345
B. 17/87
C. 316/435
D. 158/435

Correct Answer

316/435

Explanation

$n (s) = {}^{30}C_{2}$

Let A be the event of getting two oranges and

B be the event of getting two non-defective fruits.

and $(A ? B)$ be the event of getting two non-defective oranges

$? P (A) = \frac{{}^{20}C_{2}}{{}^{30}C_{2}}, P (B) = \frac{{}^{22}C_{2}}{{}^{30}C_{2}} a n d P (A ? B) = \frac{{}^{15}C_{2}}{{}^{30}C_{2}}$

$? P (A ? B) = P (A) + P (B) - P (A ? B)$

= $\frac{{}^{20}C_{2}}{{}^{30}C_{2}} + \frac{{}^{22}C_{2}}{{}^{30}C_{2}} - \frac{{}^{15}C_{2}}{{}^{30}C_{2}} = \frac{316}{435}$

More questions

1.
A rope can make 70 rounds of the circumference of a cylinder whose radius of the base is 14 cm. how many times can it go round a cylinder having radius 20 cm?
Options
A. 49 rounds
B. 54 rounds
C. 56 rounds
D. 77 rounds

Discuss

2.
If the cost of x meters of wire is d rupees, then what is the cost of y meters of wire at the same rate?
Options
A. xy d
B. xd
C. yd
D. yd x

Discuss

3.
In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
Options
A. 1
B. 32
C. 40
D. 76

Discuss

4.
The average speed of a train in the onward journey is 25% more than that in the return journey. The train halts for 2 h on reaching the destination. The total time taken to complete to and fro journey is 32 h, covering a distance of 1600 km. Find the speed of the train in the onward journey?
Options
A. 56.25 km/h
B. 60 km/h
C. 66.50 km/h
D. 67 km/h

Discuss

5.
An amount at the rate of 5% pa becomes ? 10 more at compound interest than that of simple interest after 2 yr. Calculate the principal.
Options
A. ? 4000
B. ? 4050
C. ? 5000
D. ? 5500

Discuss

6. In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Options
A. 3 km/hr
B. 5 km/hr
C. 8 km/hr
D. 9 km/hr

Discuss

7.
The principal amount which yields a compound interest of ? 208 in the second year at 4% is
Options
A. ? 5000
B. ? 10000
C. ? 130000
D. ? 6500

Discuss

8.
The circumference of a circle is 25 cm. Find the side of the square incribed in the circle.
Options
A. 25/??2 cm
B. 21/??3 cm
C. 23/??2
D. 29/??3 cm

Discuss

9. Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:
Options
A. 9
B. 11
C. 13
D. 15

Discuss

10.
The height of a tree increases every year 1/8 times. If the present height of the tree is 64 cm, then what will be its height after 2 yr?
Options
A. 76 cm
B. 80 cm
C. 81 cm
D. 84 cm

Discuss

Comments

CuriousTab

CuriousTab

Discussion

A basket contains 10 apples and 20 oranges out of which 3 apples and 5 oranges are defective. If we choose two fruits at random, what is the probability that either both are oranges or both are non defective?

More questions

More in Aptitude:

Aptitude

Engineering

Programming

Reasoning

Links

Speed in still water =	1	(11 + 5) kmph = 8 kmph.
	2

CuriousTab

CuriousTab

Discussion

A basket contains 10 apples and 20 oranges out of which 3 apples and 5 oranges are defective. If we choose two fruits at random, what is the probability that either both are oranges or both are non defective?

More questions

More in Aptitude:

Aptitude

Engineering

Programming

Reasoning

Links

Social