Question

A classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each. If you select a card at random, what is the probability of getting:

a) 1/52
b) 1/26
c) 1/13
d) 1/4

Answer 1

The student's question involves calculating probabilities with a deck of 52 cards. The probability of drawing a specific card is 1/52, for a card of a particular color it's 1/26, for a card from a specific suit it's 1/13, and for a card of a certain rank it's 1/4.

Step-by-step explanation:

A standard deck of cards is a common example used to explain and calculate probabilities. To determine the probability of an event, you need to know two things:

• The total number of possible outcomes (in a deck of cards, this is 52).
• The number of ways the event you're measuring can occur.

Now, looking at the options given (1/52, 1/26, 1/13, 1/4), we can determine which outcomes these probabilities correspond to:

1. 1/52: The probability of drawing any specific single card out of the 52 cards.
2. 1/26: The probability of drawing a card of a particular color, since there are 26 cards of each color.
3. 1/13: The probability of drawing a card from a specific suit, as there are 13 cards in each suit.
4. 1/4: The probability of drawing a card of a particular rank (A, 2, 3, ..., 10, J, Q, K), since each rank appears four times in the deck, once in each suit.

Always remember that probabilistic events rely on random selection, and the deck is assumed to be well-shuffled for proper randomization.