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 3 or King? (Your answer must be in the form of a reduced fraction.)
well, of the 52 cards, how may are a 3 or a K?
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 heart or Jack? (Your answer must be in the form of a reduced fraction.)
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 an Ace? (Your answer must be in the form of a reduced fraction.)
To find the probability of randomly selecting a specific card from a well-shuffled standard deck of 52 cards, we need to determine the number of favorable outcomes (cards that meet the criteria) and divide it by the total number of possible outcomes (number of cards in the deck).
In this case, we are interested in selecting a 3 or a King. There are four Kings in a deck (one King in each suit: hearts, diamonds, clubs, and spades) and four 3s in a deck (one 3 in each suit). So, there are a total of 8 favorable outcomes.
Since there are 52 cards in a deck, the total number of possible outcomes is 52.
To calculate the probability, we divide the number of favorable outcomes (8) by the total number of possible outcomes (52):
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Probability = 8 / 52
To reduce the fraction to its simplest form, we can divide both the numerator and the denominator by their greatest common divisor, which is 4:
Probability = 2 / 13
Therefore, the probability of randomly selecting a 3 or King from a well-shuffled standard deck of 52 cards is 2/13.