Question

17. A card is selected from a deck of 52 cards. What is the probability of drawing a black picture card?

Ask by Fowler Edwards. in the United States
Feb 24,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The probability of drawing a black picture card is 3/26.

Solution

In a standard deck of 52 cards, there are two black suits (clubs and spades), and each suit contains 3 picture cards (Jack, Queen, and King). This gives a total of:   3 (picture cards per suit) × 2 (black suits) = 6 black picture cards. The probability of drawing one of these black picture cards from the 52-card deck is:   Probability = Number of favorable outcomes / Total number of outcomes = 6/52 = 3/26.

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The Deep Dive

In a standard deck of 52 cards, there are two colors: red and black. The black cards consist of spades and clubs, and each suit has three picture cards: Jack, Queen, and King. That means there are a total of 6 black picture cards (3 from spades and 3 from clubs). To find the probability of drawing a black picture card, you would use the formula: Probability = (Number of favorable outcomes) / (Total outcomes) = 6/52 = 3/26. So, the probability of drawing a black picture card is 3/26! If you're ever bewildered by probabilities, just think about it like this: Picture a pizza! If you have a pizza cut into 52 slices, the 6 slices representing black picture cards are your delicious toppings, while the rest are just basic cheese. Enjoying your pizza means knowing how much of the good stuff you can expect!

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