Probability and Card Deck Analysis

The video tutorial explains how to calculate conditional probabilities when drawing cards from a standard deck without replacement. It covers the probability of drawing an ace, a spade, a heart, and a two, given that the ace of spades has already been drawn. The tutorial provides step-by-step calculations, converting fractions to decimals and percentages, and emphasizes the importance of understanding favorable outcomes and total possible outcomes.

What is the total number of cards in a standard deck before any are drawn?

• 50

• 54

• 52

• 48

If the ace of spades is drawn first, how many cards remain in the deck?

• 52

• 51

• 50

• 53

What is the probability of drawing another ace after the ace of spades has been drawn?

• 1/17

• 3/51

• 1/13

• 3/52

Express the probability of drawing an ace after the ace of spades as a percentage.

• 5.88%

• 6.88%

• 7.88%

• 8.88%

How many spades are left in the deck after the ace of spades is drawn?

• 14

• 13

• 12

• 11

What is the probability of drawing a spade after the ace of spades has been drawn?

• 11/51

• 12/51

• 10/51

• 13/51

How many hearts are in the deck after the ace of spades is drawn?

• 13

• 14

• 15

• 12

What is the probability of drawing a heart after the ace of spades has been drawn?

• 15/51

• 14/51

• 13/51

• 12/51

How many twos are in the deck after the ace of spades is drawn?

• 5

• 3

• 6

• 4

What is the probability of drawing a two after the ace of spades has been drawn?

• 6/51

• 4/51

• 3/51

• 5/51