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

Correct Answer:
B) 3 / 5

Description for Correct answer:
Total number of ways
= n(S) = \( 6C_2 \) = 15
Favourable number of ways = n (E) = \(3C_1 \times 3C_1 \)=9
Required probability = \( \large\frac{9}{15} = \frac{3}{5}\)

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








Comments

No comments available




Similar Questions
1). 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
2). 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
3). 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
4). 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
5). 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


6). A box contains 2 blue caps, 4 red caps, 5 green caps and 1 yellow cap. If two caps are picked at random, what is the probability that at least one is red?
A). 1 / 3
B). 16 / 21
C). 19 / 33
D). 7 / 19
-- View Answer
7). A and B are two events such that P(A) = 0.3 and P( A \( &cup \) B) = 0.8. If A and B are independent, then P(B) is
A). 2 / 3
B). 3 / 8
C). 2 / 7
D). None of these
-- View Answer
8). A box contains 24 marbles, some are green and others are blue, if a marble is drawn at random from that box, the probability that it is green is 2 / 3. The number of blue balls in the box is
A). 13
B). 12
C). 16
D). 8
-- View Answer
9). From 4 children, 2 women and 4 men, 4 persons are selected. The probability that there are exactly 2 children among the selected persons, is
A). 11 / 21
B). 9 / 21
C). 10 / 21
D). 5 / 21
-- View Answer
10). There are two bags containing white and black balls. In the first bag, there are 8 white and 6 black balls and in the second bag, there are 4 white and 7 black balls. One balls is drawn at random from any of these two bags. Find the probability of ball being black
A). 5 / 9
B). 7 / 19
C). 41 / 77
D). 9 / 17
-- View Answer