Question 9 Chen randomly draws a card from a deck. The odds in favor of his drawing a blue card are \( 1: 8 \). What is the probability that chen will draw a blue card? \( \frac{1}{9} \) \( \frac{1}{8} \) \( \frac{1}{4} \)

The odds in favor of drawing a blue card are given as \(1:8\), which means for every 1 blue card, there are 8 non-blue cards. To find the probability, we can use the formula for converting odds to probability: \[ P(A) = \frac{\text{favorable outcomes}}{\text{favorable outcomes} + \text{unfavorable outcomes}} \] Here, that gives us: \[ P(\text{blue}) = \frac{1}{1 + 8} = \frac{1}{9} \] So, the probability that Chen will draw a blue card is \(\frac{1}{9}\). Now, if you're ever in doubt about probabilities again, remember that odds tell a story – they're like the ratio of chances! By flipping them into a probability, you're essentially calculating the chance of getting that desired outcome and making better-informed decisions moving forward. Equally fascinating is how cards have been a part of humanity’s history for centuries! Dating back to 9th century China, they have evolved through cultures and traditions into the modern decks we use today. Isn’t it amazing how something so simple can carry so much history and still bring joy to our lives?