A magician showed a magic trick where he picked one card from a standard deck. Determine what the probability is that the card will be a red color queen card ?
2/52 = 1/26
I think its 1 out of 13
To determine the probability of picking a red color queen card from a standard deck, we need to know the number of red color queen cards and the total number of cards in the deck.
A standard deck of playing cards consists of 52 cards, where half of them are red (26 red cards) and half are black.
There are 4 queens (one for each suit - hearts, diamonds, clubs, and spades) in a standard deck, and two of them are red (hearts and diamonds).
So, there are 2 red color queen cards in a standard deck.
To calculate the probability, we divide the number of favorable outcomes (2 red color queen cards) by the total number of possible outcomes (52 cards in the deck):
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 2/52
Simplifying the fraction, we get:
Probability = 1/26
Therefore, the probability of picking a red color queen card from a standard deck is 1 out of 26.
To determine the probability of picking a red color queen card from a standard deck, we first need to find out how many red color queen cards are there in a deck.
A standard deck consists of 52 cards, with each suit (hearts, diamonds, clubs, and spades) having one queen card. Since we are interested in red color queen cards, we need to determine the number of queens that are either hearts or diamonds.
There are two red suits: hearts and diamonds. Each of these suits has one queen, so the total number of red color queen cards is two.
Now, we can calculate the probability by dividing the number of favorable outcomes (picking a red color queen card) by the number of possible outcomes (picking any card from the deck).
Number of favorable outcomes = 2 (the number of red color queen cards)
Number of possible outcomes = 52 (total number of cards in a standard deck)
Therefore, the probability of picking a red color queen card from a standard deck is:
Probability = Number of favorable outcomes / Number of possible outcomes
Probability = 2 / 52
Probability ≈ 0.0385
Hence, the probability of picking a red color queen card from a standard deck is approximately 0.0385, which can also be written as 3.85%.