21). 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 |
|
22). 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 |
|
23). 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 |
|
24). 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 |
|
25). 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 |
|
26). 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 |
|
27). 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 |
|
28). 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 |
|
29). 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 |
|
30). 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 |
|
