Question 4 Patricia was having fun playing a card game. To win the game, she needed the next two cards dealt to be yellow cards. There are 12 cards left in the deck, and three are yellow. What is the probability that the two cards dealt to Patricia will both be yellow?

To find the probability that Patricia gets two yellow cards in a row, we first look at the situation. For the first yellow card, the probability is the number of yellow cards (3) divided by the total cards left (12), giving us a probability of 3/12 or 1/4. If she draws one yellow card, only 2 yellow cards are left and there are now 11 cards total. The probability of drawing another yellow card now is 2/11. To find the overall probability of both events happening, multiply the two probabilities: (3/12) * (2/11) = 6/132, which simplifies to 1/22. So, the probability that both cards dealt are yellow is 1/22! Another fun way to look at this problem is using a real-life card game analogy! Imagine Patricia is in a high-stakes game of "Go Fish" with her friends. She's hoping for those elusive yellow cards to win. Each time she draws, it’s like a suspenseful moment in a movie where she holds her breath, revealing a new card and hoping for yellow magic. This scenario shows how probabilities play a fun role not just in math, but in the thrill of games!