Please answer the following showing FULL STEPS needed, and do so by following the MDM4U VIRTUAL course Ontario curriculum, thank you!

5. A bag contains 15 blue chips, 24 red chips, and 13 green chips. Three chips are drawn randomly without replacement. Determine the probability of drawing 3 red chips. [3]

6. A simple betting game has the following rules: -A coin is tossed and if the coin lands on tails, you roll an eight-sided die. -If the coin lands on heads, you toss the coin again. -You win the game when you roll a 6 on the die or you get heads on the second coin toss What is the probability of winning the game? Explain with words and some calculations. [4]

7. The probability a graduate from Data high school will attend the Databulous University is 2/5 . The probability that a student will stay in residence first year (at any university) is 3/13 . The probability that a student will stay in residence or attend Databulous U is 15/26. What is the probability that a student will attend Databulous U and stay in residence? [4]