Assuming a standard deck of 52 playing cards. Calculate the the probability.
Draw one card thatis a queen and a heart.
is it 4/52 + 13/52 - 1/52 = 16/52 or 4/13
is this right??
Draw one card that is a queen or a heart
4/52 +13/52 - 2/52 =15/52
not sure if I have the right or wrong answer on these two, please help
Thanks
If one card is a queen and a heart, it is the queen of hearts. 1/52
Since the probability of Queen of hearts is 1/52
4/52 + 13/52 - 1/52 = 16/52
To calculate the probability of drawing a specific card from a standard deck of 52 playing cards, you need to determine the number of desirable outcomes (cards that meet the given condition) and divide it by the number of possible outcomes (total number of cards in the deck).
For the first question, you want to find the probability of drawing a card that is both a queen and a heart. Since there is only one queen of hearts in the deck, the number of desirable outcomes is 1. The total number of cards in the deck is 52. Therefore, the probability of drawing a queen of hearts is 1/52.
Next, you asked for the probability of drawing a card that is either a queen or a heart. To find this probability, you can add the probabilities of drawing a queen and drawing a heart and then subtract the probability of drawing the queen of hearts, as it was already included in both categories.
The number of queens in the deck is 4 (one queen of each suit). Hence, the probability of drawing a queen is 4/52. There are 13 hearts in the deck (one for each value), so the probability of drawing a heart is 13/52. However, since one of the hearts is also a queen (queen of hearts), we need to subtract it once. Thus, the probability of drawing a queen or a heart is (4/52) + (13/52) - (1/52) = 16/52 or simplified to 4/13.
Therefore, your first answer is correct: The probability of drawing a queen and a heart is 1/52, and the probability of drawing a queen or a heart is 4/13.