3. Suppose you draw one card from a deck of 52 cards. What is the probability of drawing a Jack or an 8? Use the probability formula for mutually exclusive events.

To find the probability of drawing a Jack or an 8 from a standard deck of 52 cards, we can use the probability formula for mutually exclusive events. There are 4 Jacks and 4 Eights in a deck. So, the total number of favorable outcomes is 4 (Jacks) + 4 (Eights) = 8. The probability is then calculated as the number of favorable outcomes divided by the total number of outcomes: P(Jack or 8) = 8/52 = 2/13. So, the probability of drawing a Jack or an 8 is approximately 15.38%. Fun fact: The deck has a long and fascinating history dating back to the 9th century, with playing cards originating in China. They made their way to Europe in the late 14th century, and since then, the designs and card games have evolved into the various popular games we know today! If you’re ever caught in a card game dilemma, remember that understanding the probabilities can give you that extra edge! Always double-check your calculations: a simple mistake could flip your winning chances from a royal flush to a busted hand! Grab a deck, practice those probabilities, and soon, you'll be a card shark among your friends!