To determine the probability of drawing a card that is either a club or a 5 from a standard deck of cards, we first need to understand the composition of the deck.
A standard deck of 52 cards contains:
- 13 clubs
- 13 diamonds
- 13 hearts
- 13 spades
Additionally, there are four cards that are fives (one from each suit): 5 of clubs, 5 of diamonds, 5 of hearts, and 5 of spades.
Next, we calculate how many cards meet the conditions of our question:
- Number of clubs = 13
- Number of fives = 4
- However, we have counted the 5 of clubs twice (once as a club and once as a 5), so we need to subtract one.
Thus, the total number of favorable outcomes is:
13 (clubs) + 4 (fives) – 1 (5 of clubs) = 16
Now, we find the probability by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of outcomes
Probability = 16 / 52
This simplifies to:
4 / 13
Thus, the probability that the card you select is a club or a 5 is 4/13.