Find the probability for the experiment of selecting one card from a standard deck of 52 playing cards such that the card is a 10 or higher (aces are low).
Is this 4/13?
correct
To find the probability of selecting a card that is a 10 or higher from a standard deck of 52 playing cards, we first need to determine the total number of cards that meet this condition and then divide it by the total number of cards in the deck.
In a standard deck of 52 playing cards, there are 4 cards of every rank (ace, 2, 3, ..., 10, jack, queen, king) for each of the 4 suits (hearts, diamonds, clubs, spades). This gives us a total of 4 * 13 = 52 cards in the deck.
Now let's determine the number of cards that are a 10 or higher. In a standard deck, there are 4 tens, 4 jacks, 4 queens, and 4 kings, giving us a total of 16 cards that are a 10 or higher.
Therefore, the probability of selecting a card that is a 10 or higher is given by:
Number of cards that are a 10 or higher / Total number of cards in the deck = 16 / 52
Simplifying this fraction gives us 4 / 13.
So yes, the probability of selecting a card that is a 10 or higher from a standard deck of 52 playing cards is indeed 4/13.
To find the probability of selecting a card that is a 10 or higher from a standard deck of 52 playing cards, we need to determine the number of favorable outcomes (cards that are a 10 or higher) and the total number of possible outcomes (all the cards in the deck).
There are 4 suits in a deck of cards (hearts, diamonds, clubs, and spades), and each suit has one 10, one Jack, one Queen, and one King, making a total of 4 cards that are 10 or higher in each suit.
So, the number of favorable outcomes is 4 (10, Jack, Queen, and King) multiplied by the 4 suits, which is 16.
The total number of possible outcomes (all the cards in the deck) is 52.
Therefore, the probability of selecting a card that is a 10 or higher is:
Number of favorable outcomes / Total number of possible outcomes = 16/52 = 4/13.
So, yes, the probability is indeed 4/13.