If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a club or diamond? (Your answer must be in the form of a reduced fraction.)
there are 52 cards
13 clubs, 13 diamonds, so 26/52 = ____
or, there are 4 equal suits, and you want two of them. So, 2/4 = ___
(13+13)/52 = ?
To find the probability of selecting a club or diamond, we need to determine the number of favorable outcomes (cards that are clubs or diamonds) and the total number of possible outcomes (cards in the deck).
There are 13 cards of each suit in a standard deck, so there are a total of 13 clubs and 13 diamonds.
The total number of possible outcomes is 52 (since there are 52 cards in a deck).
Therefore, the probability of selecting a club or diamond is (13 + 13) / 52 = 26 / 52.
Simplifying the fraction by dividing both numerator and denominator by their greatest common divisor (which is 26), we get 1/2.
So, the probability of selecting a club or diamond from a well-shuffled standard deck of 52 cards is 1/2.
To find the probability of selecting a club or diamond from a well-shuffled standard deck of 52 cards, we need to determine the number of favorable outcomes (club or diamond cards) and the total number of possible outcomes.
1. Number of favorable outcomes:
There are 13 clubs and 13 diamonds in a deck of cards, so the number of favorable outcomes is 13 + 13 = 26.
2. Total number of possible outcomes:
Since there are 52 cards in a deck, the total number of possible outcomes is 52.
3. Probability:
Probability is calculated as the number of favorable outcomes divided by the total number of possible outcomes. Therefore, the probability of selecting a club or diamond is 26/52.
Simplifying the fraction by dividing both numerator and denominator by their greatest common divisor, we get:
26/52 = 1/2
So, the probability of selecting a club or diamond from a well-shuffled standard deck of 52 cards is 1/2.