Card Selection and Probability Problems

The video tutorial explains how to calculate probabilities using a standard deck of 52 cards. It covers the probability of drawing exactly two Jacks and two Queens, and the probability of drawing exactly one Ace. The tutorial demonstrates the use of combinatorics, specifically combinations, to determine the number of favorable outcomes and convert these probabilities into percentages.

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

• 52 choose 2

• 52 choose 4

• 52 choose 3

• 52 choose 5

What is the first step in calculating probabilities as percentages?

• Divide by the total number of outcomes

• Multiply by 100

• Find the decimal to six decimal places

• Convert to scientific notation

How many ways can you select two jacks from a deck?

• 4 choose 3

• 4 choose 1

• 4 choose 4

• 4 choose 2

What is the probability of drawing exactly two jacks and two queens from a deck?

• 0.000609%

• 0.0609%

• 0.00609%

• 0.0000609%

What does the scientific notation '6.09 x 10^-4' convert to in decimal form?

• 0.0000609

• 0.0609

• 0.00609

• 0.000609

In the second example, how many cards are non-aces?

• 52

• 40

• 44

• 48

How many ways can you select one ace from a deck?

• 4 choose 4

• 4 choose 3

• 4 choose 2

• 4 choose 1

What is the probability of drawing exactly one ace from a deck?

• 29.9474%

• 2.99474%

• 0.299474%

• 29.947%

How many ways can you select four non-ace cards from a deck?

• 48 choose 4

• 44 choose 4

• 52 choose 4

• 40 choose 4

What is the final step in converting a probability to a percentage?

• Multiply by 100

• Divide by 100

• Add 100

• Subtract 100