31). A basket contains 6 red, 5 green and 8 blue balls. If four balls are picked at random, what is the probability that all four of them are either red or any two out of the four are green?
| A). \( \Large \frac{5}{1292} \) |
| B). \( \Large \frac{925}{3876} \) |
| C). \( \Large \frac{359}{1938} \) |
| D). \( \Large \frac{11}{3876} \) |
|
32). A baseket contains 6 blue,2 red,4 green and 3 yellow balls, If 2 balls are picked at random, what is the probability that either both are green or both are yellow?
| A). \( \Large \frac{2}{5} \) |
| B). \( \Large \frac{3}{35} \) |
| C). \( \Large \frac{1}{3} \) |
| D). \( \Large \frac{3}{91} \) |
|
33). If 5 balls are picked at random, what is the probability that at least one is blue?
| A). \( \Large \frac{137}{143} \) |
| B). \( \Large \frac{9}{91} \) |
| C). \( \Large \frac{18}{455} \) |
| D). \( \Large \frac{2}{5} \) |
|
34). If 2 balls are picked at random, what is the probability that both are blue?
| A). \( \Large \frac{1}{5} \) |
| B). \( \Large \frac{8}{91} \) |
| C). \( \Large \frac{2}{15} \) |
| D). None of these |
|
35). If 4 balls are picked at random, what is the probability that 2 are red and 2 are green?
| A). \( \Large \frac{4}{15} \) |
| B). \( \Large \frac{5}{27} \) |
| C). \( \Large \frac{1}{3} \) |
| D). \( \Large \frac{2}{455} \) |
|
36). If 3 balls are picked at random, what is the probability that none is yellow?
| A). \( \Large \frac{3}{455} \) |
| B). \( \Large \frac{1}{5} \) |
| C). \( \Large \frac{44}{91} \) |
| D). \( \Large \frac{4}{5} \) |
|
37). A basket contains three blue and four red balls. If three balls are drawn at random from the basket, what is the probability that all the three are either blue or red?
| A). 1 |
| B). \( \Large \frac{1}{7} \) |
| C). \( \Large \frac{3}{14} \) |
| D). \( \Large \frac{3}{28} \) |
|
38). If two marbles are drawn at random, what is the probability that both are red or at least one is red?
| A). \( \Large \frac{26}{93} \) |
| B). \( \Large \frac{2}{7} \) |
| C). \( \Large \frac{199}{366} \) |
| D). None of these |
|
39). If three marbles are drawn at random, what is the probability that at least one is yellow?
| A). \( \Large \frac{1}{5} \) |
| B). \( \Large \frac{199}{364} \) |
| C). \( \Large \frac{135}{324} \) |
| D). \( \Large \frac{5}{9} \) |
|
40). If eight marbles are drawn at random, what is the probability that there are equal number of marbles of each colour?
| A). \( \Large \frac{3}{8} \) |
| B). \( \Large \frac{351}{738} \) |
| C). \( \Large \frac{60}{1011} \) |
| D). \( \Large \frac{1}{1011} \) |
|
