A basket contains 4 red, 5 blue and 3 green marbles. If two marbles are drawn at random, what is the probability that both are red?


A) 3 / 7

B) 1 / 2

C) 2 / 11

D) None of these

Correct Answer:
D) None of these

Description for Correct answer:
Total number of possible outcomes
= n(S) = \( 12C_2 = \frac{12 X 11 }{2} = 66 \)

Total number of favourable events

= n(E) = \( 4C_2 \)

=\( \large\frac{4 \times 3}{2 \times 1} = 6 \)

Required probability = \( \large\frac{6}{66} = \frac{1}{11} \)

Part of solved Probability questions and answers : >> Aptitude >> Probability








Comments

No comments available




Similar Questions
1). A basket contains 4 red, 5 blue and 3 green marbles. If three marbles are picked at random, what is the probability that atleast one is blue?
A). 7 / 12
B). 37 / 44
C). 5 / 12
D). 7 / 44
-- View Answer
2). A basket contains 4 red, 5 blue and 3 green marbles. If three marbles are picked at random, what is the probability that either all are green or all are red?
A). 7 / 44
B). 7 / 12
C). 5 / 12
D). 1 / 44
-- View Answer
3). A basket contains 3 blue, 2 green and 5 red balls. If three balls are picked at random, what is the probability that atleast one is red?
A). 1 / 2
B). 7 / 12
C). 11 / 12
D). 1 / 5
-- View Answer
4). A basket contains 3 blue, 2 green and 5 red balls. If four balls are picked at random, what is the probability that two are green and two are blue?
A). 1 / 18
B). 1 / 70
C). 3 / 5
D). 1 / 2
-- View Answer
5). Three mangoes and three apples are kept in a box. If two fruits are chosen at random, find the probability that one is a mango and the other is an apple.
A). 2 / 3
B). 3 / 5
C). 1 / 3
D). 1 / 5
-- View Answer


6). The probability that a man will be alive for 10 more years is 1 / 4 and the probability that his wife will alive for 10 more years is 1 / 3. The probability that none of them will be alive for 10 more years, is
A). 5 / 12
B). 1 / 2
C). 7 / 12
D). 11 / 12
-- View Answer
7). In a lottery 10000 tickets are sold and 10 prizes are awarded. What is the probability of not getting a prize, if you buy one ticket?
A). 9 / 10000
B). 9 / 10
C). 999 / 1000
D). 9999 / 10000
-- View Answer
8). Two persons A and B appear in an interview for two vacancies. If the probabilities of their selections are 1 / 4 and 1 / 6 respectively, then the probability that none of them is selected, is
A). 5 / 8
B). 5 / 12
C). 1 / 12
D). 1 / 24
-- View Answer
9). The probabilities of solving a problem by three students A, B and C are 1 / 2, 1 / 3 and 1 / 4 respectively. The probability that the problem will be solved is
A). 1 / 4
B). 1 / 2
C). 3 / 4
D). 1 / 3
-- View Answer
10). Out of 13 applicants for a job, there are 5 women and 8 men. It is desired to select 2 persons for the job. The probability that atleast one of the selected persons will be a woman, is
A). 25 / 39
B). 14 / 35
C). 5 / 13
D). 10 / 13
-- View Answer