Quantitative Reasoning Probability Test 2 Online

1. A brother and a sister appear for an interview against two vacant posts in an office. The probability of the brother's selection is 1/5 and that of the sister's selection 1/3. What is the probability that only  one of them is selected?

2. Out of 13 applications for a job, there are 5 women and 8 men. It is desired to select 2 persons for the job. The probability that at least one of the selected persons will be women is?

3. A six sided die with faces numbered 1 through 6 is rolled three times. What is the probability that the face with the number 6 on it will not face upward on all the three rolls?

4. An anti-aircraft gun can take a maximum of four shots at an enemy plane moving away from it, The probability of hitting the plane at the first, second, third and fourth shots are 0.4,0.3,0.2 and 0.1, respectively. What is the probability that the plane is hit when all the four shots are fired?

5. A box contains 6 white balls and 7 black balls. Two balls are drawn at random. What is the probability that both are of the same color?

6. A and B throw a coin alternately till one of them gets a head and wins the game. If A starts the game, find the probability of winning by A.

7. Badri has 9 pairs of dark blue socks and 9 pairs of black socks. He keeps them all in the same bag. If he picks out three socks at random, then what is the probability that he will get a matching pair?

8. Suppose six coins are flipped. Then the probability of getting at least one trail is?

9. A room has 3 lamps. From a collection of 10 light bulbs of which 6 are not good, a person selects 3 at random and puts them in socket. The probability that he will have light, is?

10. I forgot the last 3 digit of a 7 digit telephone number. If I randomly dial the final 3 digits after correctly dialing the first four, then what is the chance of dialing the correct number?

11. There are 10 pairs of socks in a drawer. What is the minimum number of socks that a person should pull out from the drawer to ensure that the gets at least two matching pairs of socks?

12. A man and his wife appear in an interview for two vacancies in the same post. The probability of the husband's selection is 1/7 and the probability of the wife's selection is 1/5. What is the probability that only one of them is selected?