In a bag, there are 2 red marbles, 3 white marbles, and 5 blue marbles. Once a marble is selected, it is replaced. Find the probability of getting a white marble followed by a blue marble.
2. You pick three cards from a deck of 52 cards and put them back in. What is the probability that you get a Jack, a king, and a queen?
3. If there are 21 people sitting on a bus, 7 are children, 11 are women, and 3 are men. One person is selected and then replaced. Another person is selected from the bus. What is the probability that the first person is a woman and the other person is a man?
4. Two odd numbers are selected at random from integers 11 through 22. Find the probability that the two numbers are multiples of 3 after replacing the first?
5. If Claudine randomly chooses two letters from the word "PANDEMIC," find the probability that she chooses a P and then an E after replacing the first choice.
6. A card is drawn from a pack of 23 cards numbered from 1 to 23. What is the probability of drawing two cards where the first is 2 and the other is 21 with replacement?
7. A bag contains 5 red marbles, 4 green marbles, and 1 blue marble. A marble is chosen at random from the bag and not replaced; then a second marble is chosen. What is the probability that both marbles are green?
8. A bag is filled with 3 black marbles, 5 red marbles, and 9 orange marbles. What is the probability of choosing an orange marble followed by a red one if the orange marble is NOT replaced after the first draw?
9. Five residents in Barangay Quezon tested positive in a COVID-19 test. If barangay officials need to locate these residents, what is the probability that the barangay officials can locate all five COVID-19 positive residents if there are 150 residents in the barangay (if the addresses of the residents were not given)?
10. You are playing a game that involves drawing three numbers from a hat. There are 25 pieces of paper numbered 1 to 25 in the hat. Each number is not replaced after it is drawn. What is the probability that each number is greater than 20?
11. To win a lottery, a player must correctly match six different numbers from 1 to 42. What are your chances of winning if the results of the first 3 drawn numbers match your numbers?
12. If 300 residents in your barangay will be part of the Social Amelioration Program of the government and all 500 residents are qualified, what is the probability that you will be chosen if recipients will be randomly selected and 296 are already chosen?