Question

Use the formula P(B\A)=n(A and B)÷n(A) to find the probability P(kinglface card) when a single. card is drawn from a standard 52 card deck. P(king face card)=

Answer 1

To calculate the probability of drawing a king or face card from a standard 52-card deck, use the formula P(B|A) = n(A and B) ÷ n(A).

Step-by-step explanation:

To find the probability of drawing a king or face card from a standard 52-card deck, we can use the formula P(B\A) = n(A and B) ÷ n(A), where A represents the event of drawing a king or face card, and B represents the event of drawing any card from the deck.

In a standard 52-card deck, there are 4 kings and 12 face cards (kings, queens, and jacks). Therefore, n(A and B) = 4 (number of kings) and n(A) = 12 + 4 (number of face cards). Plugging these values into the formula:

P(king or face card) = P(B\A) = n(A and B) ÷ n(A) = 4 ÷ (12 + 4) = 4 ÷ 16 = 1/4 = 0.25

Answer 2

In a deck of 52 cards, there 4 faces of Kings. These are the King of Hearts, King of Diamonds, King of Spades, and King of Clubs. Therefore, the chance of drawing a king face card in a deck of cards would be 4 out of 52 or 1 out of 13.

Answer: P(king face card) = 1/13