Question

question 13 during the play of a card game, you see 22 of 52 cards in the deck drawn and discarded and none of them is a black queen. you need a black queen to win the game. what is the probability that you will win the game on the next card drawn? what is a standard deck of 52 cards? question help: video ebook written example

Explanation:

Step1: Determine remaining cards and black Queens left

In a standard deck, there are 2 black Queens (Queen of Spades, Queen of Clubs). 22 cards are drawn and discarded, none of which are black Queens, so remaining cards: \( 52 - 22 = 30 \). Black Queens left: 2.

Step2: Calculate probability

Probability is favorable outcomes over total remaining outcomes. So probability \( = \frac{\text{Number of black Queens left}}{\text{Number of remaining cards}} = \frac{2}{30} = \frac{1}{15} \approx 0.0667 \).

Answer:

The probability is \(\frac{1}{15}\) (or approximately \(0.0667\)).