Independent vs Dependent Probabilities

Ten cards numbered 1-10 are placed in a hat. What is the probability of randomly drawing a card with an even number then a card with a number greater than or equal to five if the first card is replaced?

• 1/4

• 2/3

• 3/10

• 3/5

Which event is not a dependent event?

• Picking 2 students to be the line leader and the door holder from a group of 20 students

• Picking 2 marbles from a bag without replacing the first marble

• Picking 2 crayons from a box without putting any back

• Picking an earring, replacing it, then picking a 2nd earring

What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?

• 1 ⁄ 6

• 1 ⁄ 8

• 1 ⁄ 2

• 1 ⁄ 12

A(n) _____________ variable depends on or is changed by another variable.

• dependent

• independent

Mackenzie chooses one candle, returns it to the bunch, and then chooses another candle. What is the probability Mackenzie selects a polka dot candle both times?

How many of these statements are true?
1) P(spanish) = 25/50 
2) P(spanish given boy) = 10/20
3) P(boy given spanish) = 10/20
4) {spanish} and {boy} are independent. 

• 1

• 2

• 3

• 4

Marietta picks a candle from the bunch, replaces it, and then selects one again. What are the chances that she selects a green both times?

• 1/144

• 1/12

• 1/36

• 2/24

• 2/12

Ten cards numbered 1-10 are placed in a hat. What is the probability of randomly drawing a card with an even number then a card with a number five or greater if the first card is replaced?

• 1/4

• 2/3

• 3/10

• 3/5

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

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