Probability of Independent vs dependent events

Which of the following is a set of dependent events?

• Spinning a spinner two times to find the probability of landing on an 8 and then a 6

• Tossing a number cube for the number 5 and spinning a spinner to land on a five

• Selecting a 2 from this set of cards, returning the card and then selecting a 5

• Selecting a 6 from this set of cards, keeping this card, and then selecting a 4

Which of the following is a set of independent events?

• Randomly selecting a red marble and then randomly selecting a blue marble from this set

• Randomly selecting a red marble and then randomly selecting another red marble from this set

• Randomly selecting a red marble from a set of marble and then randomly selecting a dime from a set of coins

• Randomly selecting a penny and then randomly selecting a dime

Which of the following is a true statement?

• Independent events are events in which the outcome of the first event influences the outcome of the second event.

• Dependent events are events in which the outcome of the first event does not influence the outcome of the second event.

• The probability of finding the outcome of two dependent events is found by adding the probability of the first event to the probability of the second event.

• The probability of finding the outcome of two independent events is found by multiplying the probability of the first event with the probability of the second event.

Which of the following is a set of dependent events

• rolling a six on a number cube and then selecting an Ace from a deck of cards

• selecting an Ace from a deck of cards, replacing the card, and then selecting a Queen from the deck

• rolling two sixes in a row using number cubes

• selecting an Ace from a deck of cards and then selecting a King without putting the Ace back in the deck

Jack has a paper bag with 8 red chips and 6 blue chips. What is a set of dependent events that can be associated with this bag?

• selecting a red chip, replacing it, and then selecting a blue chip

• selecting a red chip, replacing it, and then selecting another red chip

• removing two red chips so that there are an equal number of red and blue chips

• selecting a blue chip, keeping it out of the bag, and then selecting another blue chip

What statement is true?

• If Lisa spins an S on two different spins, then the events would be dependent.

• Independent events cannot happen with two different objects.

• If the spinner lands on the letter E, and then on the letter M, this would be an example of independent events.

Is the event INDEPENDENT or DEPENDENT?
Amy plays card games.  She picks a card at random.  Then without putting the first card back, he picks a second card at random.

• Independent
• Dependent

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Is the event INDEPENDENT or DEPENDENT?
The spinner is spun twice.  What is the probability that it lands on red first and then blue?

• Independent
• Dependent

Dependent or Independent:
You flip a coin and then roll a fair six-sided die.  The coin lands heads-up and the die shows a one.

• Dependent
• Independent

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.6

A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?

• Independent
• Dependent