Conditional Probability and Card Games

This video tutorial introduces conditional probability, explaining it as the probability of an event occurring given that another event has already occurred. The tutorial uses various examples, such as rolling a die, school subjects, a college survey, and drawing cards from a deck, to illustrate how conditional probability can be calculated and understood. The video emphasizes understanding the logic behind the problems rather than solely relying on formulas.

What is the basic formula for conditional probability?

• P(E2 | E1) = P(E1) - P(E2)

• P(E2 | E1) = P(E2 and E1) / P(E1)

• P(E2 | E1) = P(E2) / P(E1)

• P(E2 | E1) = P(E2) + P(E1)

If you roll a six-sided die, what is the probability of rolling a 3 given that the number is odd?

• 1/3

• 1/2

• 1/4

• 1/6

Why might you choose to use the conditional probability formula instead of logical reasoning?

• It is always faster.

• It is more accurate.

• It is necessary for complex problems.

• It is easier to understand.

At P Town High School, what is the probability that a student takes Spanish given they are taking computer programming?

• 0.15

• 0.4

• 0.375

• 0.5

In the survey, what percentage of parents with children in college thought college was too expensive?

• 93.2%

• 59%

• 37.5%

• 55%

What is the probability that the second card drawn is an ace given the first card was an ace?

• 3/51

• 1/49

• 4/52

• 2/50

If the first card drawn is a red face card, what is the probability that the second card is also a red face card?

• 10/50

• 11/51

• 9/49

• 12/52

What is the total number of face cards in a standard deck of cards?

• 14

• 16

• 12

• 10

Why is it important to understand the situation in conditional probability problems?

• To avoid using any formulas.

• To memorize the formulas better.

• To ensure the correct application of formulas.

• To make the problem more complex.

What is the probability of drawing a red face card from a deck if the first card drawn was a red face card?

• 8/48

• 9/49

• 11/51

• 10/50