a. Jason and Zarah were asked to solve the following problem:

Of 1400 students at Brown High School, 800 attended the first school dance of the year. Only 500 attended the next dance, and 300 attended both dances. A student is randomly selected. What is the probability that a student

i. attended the first or second dance?

ii. attended neither dance

Jason chose to solve the problem using a Venn diagram. Zarah chose to use probability formulas. CLEARLY show two DISTINCT solutions, one for each student, showing where you got the numbers in the venn diagram etc. Leave your answer in exact form. 4 marks

b. The odds that Tia will pass Math this semester is 4:1 in favour. The odds against her passing English are 1:9 . If these events are independent, determine the probability, to the nearest hundredth that she will pass

i. Math and English

ii. Math and no English

iii. Math or English (but not both)

Mrs. Van Dusen chose to solve these problems using probability formulas, and Mr. Young chose to use a probability tree diagram. CLEARLY show two DISTINCT solutions, one for each teacher. 6 marks