Probability Independent and Dependent Events

Two cards are drawn from a deck of 52 cards. What is the probability that the first card drawn is a king and the second card drawn is a heart, given that the first card is replaced?

• 2/52

• 1

• 13/52

• 1/52

A box contains all the letters of the word U N D E R S T A N D. What is the probability of selecting an 'N' first and a 'D' next, if the first letter is replaced?

• 3/50

• 1/25

• 1/10

• 2/5

When randomly drawing from a standard deck of 52 playing cards, what is the probability of drawing a 9 four times in a row if the cards are not replaced?

• 1/5,525

• 1/270,725

• 1/28,561

• 1/4

The outcome of one event does not affect the outcome of the other event.

• independent event

• dependent event

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 independent or dependent?

• Independent

• Dependent

The outcome of one event does affect the outcome of the other event.

• independent event

• dependent event

Clara picks a marble at random, puts it back, and then picks another marble at random.

• independent

• dependent

There are 5 red roses, 3 yellow roses, and 8 white roses in a tray. If Stephanie picked 2 roses one after the other without replacing, then what is the probability of picking a white rose first and a red rose next?

• 1/6

• 5/6

• 1/3

• 2/3

If you draw out a red marble, keep it, then draw out a blue marble, is it independent or dependent probability?

• Independent

• Dependent

If you flip a coin then roll a number cube, is it independent or dependent probability?

• Independent

• Dependent