H! Thank you for helping me today. I have doubts about these questions, and I was hoping you would be able to help me.

1. You have a bag of 10 marbles with 5 red marbles, 3 green marbles, and 2 purple marbles. You draw out 3 marbles with replacement. What is the probability that all drawn marbles will not be red?

2. You have a biased coin that lands heads 80% of the time. If you flip this coin 9 times, what is the probability that you will obtain tails exactly 6 times?

3. You have a biased coin that lands heads 55% of the time. If you flip this coin 8 times, what is the probability of obtaining 3 or more heads?

4. You take a multiple-choice test that has 14 multiple-choice questions. Each question has 4 choices and you need to score at least 60% to pass. If you guess randomly, what is the probability of passing the test?