Math 30-2 course please help!

Lesson 5: Fundamental Counting Principle, Permutations and Combinations Problems - Putting it all Together! 1. A person has bought one ticket each for two separate lotteries. Determine the probability of winning a grand prize for the two lotteries. Show your work and include formula, steps and a summary statement with your answers. a. For the first lottery, 5 random numbers are drawn from 40. To win the grand prize, you need to select the correct 5 numbers. (3 marks) 5 1 15 ! 40- 5) - 45! = 1.2 x 10- 30 ? The chance to win b. For the second lottery, 4 random numbers are drawn one at a time from 35. To win the grand prize, you need to select the correct 4 numbers in the correct order. (3 marks) C. A person is more likely to win the first lottery described in question 1.a., even though the first lottery requires a person to have more correct numbers (5 compared to 4) selected from a larger set of numbers (40 compared to 35). Explain why this is true. (2 marks)