PS_5.6.2 Multiplication Rule - Dependent Events

Which statement best describes dependent events?

• Dependent events are events where the outcome of one event affects the outcome of another.
• Dependent events occur when two events happen simultaneously.
• Dependent events are completely unrelated to each other.
• Dependent events are events that always lead to the same outcome.

What is the correct formula for the probability of two dependent events, A and B, both occurring?

• P(A and B) =

  P(A|B) * P(B)

• P(A and B) =

  P(A) * P(B)

• P(A and B) =

  P(A) + P(B)

• P(A and B) =

  P(A) * P(B|A)

Why is the first fraction 4/52?

• 4/52 represents 4 total outcomes out of 52 favorable outcomes.
• 4/52 is the fraction representing 4 favorable outcomes out of 52 total outcomes.
• 4/52 is the fraction of 4 out of 52 players in a game.
• 4/52 indicates 4 successful attempts out of 52 trials.

Why is the second fraction 4/51 instead of 4/52?

• Because the drawn Ace is NOT going back into the deck.

• Because the drawn Ace is going back into the deck.

• Because the drawn King is NOT going back into the deck.

• Because the drawn King is going back into the deck.

CYU #1)

What is the probability of drawing an Ace, then a King, then a Queen without replacing any of the cards?

CYU #2

A bag contains 5 red, 3 blue, and 2 green marbles. You draw one marble, replace it, and then draw a second marble. What is the probability of drawing a red marble, then a blue marble?

If you roll a fair six-sided die three times, what is the probability of rolling a 4 all three times?

• 1/36
• 1/6
• 1/3
• 1/216

A bag contains 5 red, 3 blue, and 2 green marbles.

You draw one marble and do not replace it.

Then you draw a second marble.

What is the probability of drawing a red marble, then a blue marble?

• 1/3
• 1/6
• 1/4
• 2/5