1A bag contains 5 red, 7 green and 4 blue identical balls. In the first condition (with replacement), what is the probability that the first ball is red?
2If the same red ball is placed back in the same bag and a second ball is drawn, what is the probability that the second ball is red?
3In the second condition (without replacement), what is the probability that the first ball is red?
4If the red ball is not replaced and the second ball is drawn, what is the probability that the second ball will be red?
5Compare the probabilities obtained from the two conditions. What kind of events does each condition give?
6When a coin and a die are tossed at the same time, what kind of event is getting a head (H) on the coin and 4 on the die?
7Two cards are drawn one after another without replacement from a well shuffled deck of 52 playing cards. What kind of event is both cards being a king (K)?
8What is the difference between independent and dependent events? Give one example of each.
9A card is drawn from a deck of 52, put back, and the deck is shuffled before a second draw. If the first card was a king, what is the probability that the second is a king? What kind of events are these?
10From the bag of 5 red, 7 green and 4 blue balls, the first ball is green and is kept out. Find the probability that the second ball is red, and that it is green.
11A class of 20 students has 12 girls and 8 boys. A monitor is chosen and then an assistant monitor. If the monitor is a girl, what is the probability that the assistant is also a girl? What kind of events are these?