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Probability and Statistics
- Online Test
Probability and Statistics
TEST : 1
# Probability and Statistics
# General Aptitude
Prepare / Learn
Q1.
Direction: Study the given information carefully and answer the questions that follow:
A basket contains 5 red, 4 blue, 3 green stones.
If two stones are picked at random, what is the probability that both are blue?
A.
1/15
B.
1/11
C.
3/16
D.
1/13
E.
None of these
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
Probability if both is blue
4
C
2
/
12
C
2
= 6/66 → 1/11
# Probability and Statistics
# General Aptitude
Prepare / Learn
Q2.
Direction: Study the given information carefully and answer the questions that follow:
A basket contains 5 red, 4 blue, 3 green stones.
If four balls are picked at random, what is the probability that two are blue and two are red?
A.
4/33
B.
3/35
C.
3/65
D.
5/33
E.
None of these
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
Probability if two are Blue and two are Red
[(
4
C
2
*
5
C
2
)
/
12
C
4
] = (6*10)/495 → 4/33
# Probability and Statistics
# General Aptitude
Prepare / Learn
Q3.
Direction: Study the given information carefully and answer the questions that follow:
A basket contains 5 red, 4 blue, 3 green stones.
If three balls are picked at random, what is the probability that at least one is green?
A.
11/13
B.
43/53
C.
34/55
D.
13/55
E.
None of these
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
Probability if at least one is Green
[1-(
9
C
3
/
12
C
3
)] = 84/220 → 34/55
# Probability and Statistics
# General Aptitude
Prepare / Learn
Q4.
Direction: Study the given information carefully and answer the questions that follow:
A basket contains 5 red, 4 blue, 3 green stones.
If two balls are picked at random, what is the probability that either both are red or both are blue?
A.
7/95
B.
4/55
C.
5/33
D.
8/33
E.
None of these
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
Probabilities if both either are Red or either are blue
= (
5
C
2
+
4
C
2
)/
12
C
2
= (10+6)/66 → 8/33
# Probability and Statistics
# General Aptitude
Prepare / Learn
Q5.
Direction: Study the given information carefully and answer the questions that follow:
A basket contains 5 red, 4 blue, 3 green stones.
If four balls are picked at random, what is the probability that two are blue, one is green and one is red?
A.
2/11
B.
4/13
C.
3/11
D.
3/13
E.
None of these
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
Probabilities if two are blue and one is green and one is red
= [(
4
C
2
*
3
C
1
*
5
C
1
)/
12
C
4
] = (6*3*5)/(495) = 2/11
# Probability and Statistics
# General Aptitude
Prepare / Learn
Q6.
Direction: Study the given information carefully and answer the questions that follow—
A store contains 4 red, 5 blue, 4 green shirts.
If two shirts are picked at random, what is the probability that both are green?
A.
3/19
B.
1/17
C.
1/13
D.
1/11
E.
None of these
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
Probabilities if both are green
4
C
2
/
13
C
2
= 6/78 → 1/13
# Probability and Statistics
# General Aptitude
Prepare / Learn
Q7.
If three shirts are picked at random, what is the probability that two are blue and one is red?
A.
21/143
B.
20/113
C.
20/143
D.
13/113
E.
None of these
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
Probability if two are Blue and one are Red
[(
5
C
2
*
4
C
1
)/
13
C
3
] = (10*4)/286 → 20/143
# Probability and Statistics
# General Aptitude
Prepare / Learn
Q8.
If two shirts are picked at random, what is the probability that at least one is green?
A.
11/23
B.
7/13
C.
5/17
D.
4/11
E.
None of these
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
Probability if at least one is Green
[1-(
9
C
2
/
13
C
2
)] = 42/78 → 7/13
# Probability and Statistics
# General Aptitude
Prepare / Learn
Q9.
If two shirts are picked at random, what is the probability that either both are red or both are green?
A.
2/13
B.
1/13
C.
9/13
D.
7/26
E.
None of these
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
Probabilities if both either are Red or either are green
(
4
C
2
+
4
C
2
)/
13
C
2
= (6+6)/78 → 2/13
# Probability and Statistics
# General Aptitude
Prepare / Learn
Q10.
If two shirts are picked at random, what is the probability that at most one is blue,?
A.
24/25
B.
17/39
C.
34/39
D.
11/13
E.
None of these
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
Probabilities if at most one is blue =
[(
5
C
0
*
8
C
2
+
5
C
1
*
8
C
1
)/
13
C
2
] = (1*28 + 5*8)/(78) = 34/39
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