QQuestionMathematics
QuestionMathematics
A standard deck of playing cards consists of 52 cards. All cards are divided into 4 suits, with 2 red suits and 2 black suits. Each suit contains 13 cards, including numbered cards 2 to 10, a jack, a queen, a king, and an ace.
What is the probability that a randomly drawn card is either a 5 or a 2?
6 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1: Determine the number of favorable outcomes
So, there are a total of 4 + 4 = $$\boxed{8}$$ favorable outcomes.
The favorable outcomes are drawing a 5 or a 2. There are 4 cards with a 5 (one in each suit) and 4 cards with a 2 (one in each suit).
Step 2: Determine the total number of possible outcomes
The total number of possible outcomes is the total number of cards in the deck, which is 52.
Final Answer
The probability that a randomly drawn card is either a 5 or a 2 is \boxed{\frac{2}{13}}.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students