Dependent and Independent Event

Which event is not a dependent event?

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

• Picking 2 crayons from a box at the same time (simultaneously) 

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

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

What is the probability of drawing a King from a deck of cards, putting it back in the deck, shuffling the deck, and then drawing a Jack?

• Dependent

• Independent

You flip heads on one coin and tails on another coin.

• Dependent

• Independent

Are the events "takes Spanish" and "participates in a club" independent events?

• Yes, because P(S) is the same as P(S given C).

• No, because P(S) is not the same as P(S given C).

• Yes, because P(S) is the same as P(C given S).

• No, because P(S) is not the same P(C given S).

Let M represent the event of randomly selecting a male. Let S represent the event of randomly selecting a person that drives a SUV.

Determine if the events M and S are independent.

• Independent

• Not Independent

Are the events "Sports" and "Community Service" independent?

• Yes, because P(S) is the same as P(S Given CS).

• No, because P(S) is not the same as P(S Given CS).

• Yes, because P(S) is the same as P(CS Given S).

• No, because P(S) is not the same as P(CS Given S).

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?

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

A marble bag contains 3 red marbles, 4 gray marbles, 6 white marbles, and 5 black marbles. What is the probability of randomly drawing a red marble and then a gray marble if the first marble is replaced?

• 1/9

• 1/27

• 1/6

• 2/9

Decide whether the two events are dependent or independent.

passing the final exam and getting a passing grade in the course

• DEPENDENT

• INDEPENDENT