Question

1. Which of the following are independent events? (3 points)
((** is my answer))
A. Flipping a coin and rolling a number cube**
B. Choosing two marbles without replacement
C. Spinning a spinner twice**
D. Choosing a card, replacing it and then choosing another card**

2. A bag holds 3 blue marbles, 5 red marbles, and 2 green marbles. Find the probability of choosing a red marble and then a green marble with replacement
A. 1/10**
B. 1/2
C. 1/9
D. 1/5

3 part A. A cooler at a soccer game holds ten apple juices and ten orange juices. If the first player chooses a juice and drinks it, then the second player chooses a juice, what if the probability that both players will get orange juice?
A. 1/20**
B. 9/38
C.1/4
D. 1/400

3 part b. If the first player picks a juice but returns it without opening it, and a second player picks a juice, what is the probability that both players would choose orange juice?
A. 1/4**
B. 1/2
C. 1/10
D. 1/100

Please help me with this, and these are just guesses so idk if they are correct

Answer 1

#1. ok
#2. ok
#3a. 10/20 * 9/19
#3b. ok

Answer 2

1. Wouldn't where the spinner stops the first time effect the second spin?
2. 5/10 * 2/10 = 10/100 = 1/10
3. Disagree. 10/20 * (10-1)/(20-1) = ?
4. Agree

Answer 3

1. Flipping a coin and rolling a number cube, Spinning a spinner twice, Choosing a card, replacing it and then choosing another card
2. 1/10
3. 9/38
4. 1/4