# Quantitative Aptitude: Probability Questions – Set 17

1. In a freeze,there are 6 apples,3 mango , 5 grapes and 2 guava.If three items are picked at random,what is the probablitiy that two are grapes and one is an mango?
2/27
3/56
3/17
4/29
None of these
Option B
Total items=6+3+5+2=16
P=(5C2 * 3C1) / 16C3

2. Bag P contain 7 ruby balls,”X grey balls and 5 yellow balls.The probability to pick grey ball at random is 2/5.Another Bag Q contains “X-3″ ruby balls ,”X-4” yellow balls and 6 grey balls.If two balls are picked one after the other from Bag Q at random then what is the probablity for the balls to be ruby?
3/20
4/27
1/20
2/21
None of these
Option D
X/(7+X+5)=2/5
X=8
Bag Q=5 R,4Y , 6G

3. Six individual shirts are present in drawer.Two ruby,two blue and two white.Mani picked one shirt randomly to wear.Now he draws another shirt fro the drawer then what is the probablity he draws a shirt of same color?
1/2
1/3
1/5
2/5
None of these
Option C

4. Born child to be male is having 0.52 probablility and to be female is 0.48.If you have two children,then what is the probability that they both are females?
0.5484
0.2504
0.2304
0.3541
None of these
Option C
=0.48*0.48

5. Priyank places a deck of 52 cards.If you pick two cards then what is the probability that both are aces?
2/221
3/224
1/219
1/221
None of these
Option D
=4/52 * 3 /51

6. Mani have drwan a card from a deck of 52 cards,without replacing it mani have drwan another card.Then what is the probability of that card to be king or diamond?
2/51
1/51
3/52
4/51
None of these
Option B
=1/52 * 0 + 51/52 * 1/51

7. In a interview,out of 14 candidates there are 6 female and 8 male.It is desired to select 2 candidates for the job.The probability that atleast one of selected persons will be a female is which of the following?
50/51
77/91
81/91
40/91
None of these
Option B
Male=8C2=14
Probability of selecting no women=14/91
Probability of selecting atleast one women=1 – 14/91

8. Srikant has two bags(P and Q) that contain grey and black balls.In bag P there are 6 grey and 8 black balls and in Bag Q there are 6 grey and 6 black balls.One ball is drwan out from any of this two bags.What is the probablity that the ball drawn is black?
14/21
15/28
16/19
13/21
None of these
Option B
P bag=1/2(8C1/14C1)=2/7
Q bag=1/2(6C1/12C1)=1/4
Total Probablity=2/7 + 1/ 4

9. X and Y are sitting in a circle with 11 other persons.If the arrangement of 11 persons is at random,then the probability that there are exactly 4 persons between them?
1/2
1/3
1/6
1/4
None of these
Option C

10. A carto contains 4 ruby,5 blue and 6 greytoffees.If 3 toffees are drwan at random,what is the probablity that ll the toffees are of same color?
25/406
33/200
47/455
34/455
None of these
Option D
=(4C3 + 5C3 + 6C3) / 15C3