Probability and Combinatorics in Card Games

The video tutorial explains how to calculate probabilities using combinations from a standard deck of 52 cards. It covers three scenarios: drawing exactly three kings, all five cards being hearts, and exactly four face cards. The tutorial demonstrates how to use combinations to determine the number of favorable outcomes and the total number of outcomes, converting these probabilities into percentages. It also explains how to interpret scientific notation results from a calculator.

What is the total number of possible outcomes when drawing five cards from a standard deck?

• 52 choose 5

• 52 choose 3

• 52 choose 4

• 52 choose 2

How many ways can you select three Kings from a deck?

• 4 choose 4

• 4 choose 3

• 4 choose 2

• 4 choose 1

What is the probability that exactly three cards drawn are Kings?

• 0.1736%

• 0.736%

• 1.736%

• 17.36%

How many hearts are there in a standard deck of cards?

• 13

• 15

• 12

• 10

What is the probability that all five cards drawn are hearts?

• 0.0495%

• 49.5%

• 0.495%

• 4.95%

How do you convert a number from scientific notation to decimal notation?

• Move the decimal point to the left

• Subtract zeros from the end

• Move the decimal point to the right

• Add zeros to the end

How many face cards are there in a standard deck?

• 12

• 16

• 10

• 14

What is the probability that exactly four cards drawn are face cards?

• 0.07618%

• 76.18%

• 0.7618%

• 7.618%

How many ways can you select one card that is not a face card?

• 40 choose 1

• 40 choose 2

• 40 choose 3

• 40 choose 4

What is the total number of cards that are not face cards in a standard deck?

• 36

• 40

• 44

• 48