Two questions are presented to a contestant on a show. The contestant is to attempt both questions and can start with either question 1 or 2. No matter which question he starts with, he must answer the question correctly before the other question can be attempted. Suppose the probability is qi that he correctly answers question i (that is q for correctly answering question 1 and q2 for correctly answering question 2. Furthermore, for a correct answer, the contestant receives W dollars (that Wi for correctly answering question 1 and W2 for correctly answering question 2). Assume that knowing the answer to one question is independent of knowing the answer to the second question. What is the pmf of X, the contestants winnings, if he started with question 1? What is the pmf of X the contestants winnings, if he started with question 2?

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.