The Probability of Multiple Events

A bag contains 15 chips: 8 red and numbered 1 to 8, and 7 green numbered from 1 to 7.

Event 1: draw chip looking for even, replace

Event 2: draw chip looking for another even

Are the events Independent/Dependent?

• Independent

• Dependent

Event 1: A card is drawn from a deck of standard cards and withheld.

Event 2: a second card is drawn

Are the events Independent/Dependent?

• Independent

• Dependent

A box contains 20 black marbles and 5 red marbles.

Event 1: draw a red marble, not replaced

Event 2: draw a red marble

Are the events Independent/Dependent?

• Independent

• Dependent

A die is rolled.

Event 1: rolling an even number

Event 2: rolling an odd number

Are the events Independent/Dependent?

• Independent

• Dependent

A pair of coins are tossed.

Event 1: a heads is tossed.

Event 2: a heads is tossed.

Are the events Independent/Dependent?

• Independent

• Dependent

A drawer contains 3 red, 4 green, and 2 blue paperclips.

Event 1: draw a paperclip and keep it.

Event 2: draw another paperclip.

Are the events Independent/Dependent?

• Independent

• Dependent

A fair die is tossed.

Event 1: Roll a 4 or 5

Event 2: The complement is ________

• roll a 6

• roll a 1, 2, 3, or 6

• roll a 1, 2, 3

• roll a 1 or 6

Two fair dice are rolled. What is the probability that the sum is not 9? (Write in simplified fraction form)

Bag contains 5 red, 3 white, 6 green and 8 blue paperclips. What is the probability of drawing a paperclip that is not blue? (Write in simplified fraction form)

Two fair dice are rolled. What is the probability of not rolling doubles? (Write in simplified fraction form)