Probabilities II

Independent Events

100

What are independent events?

Events where one event does not effect the probability of another

200

What is the Multiplication Rule of Independent events

To find the probability of two or more independent events, multiply the probability of each.

300

What is the probability we use to assess whether an event is "unusual"

.05

400

There are three bags. In each bag there are cubes and 20% of the cubes in each bag are red. What is the probability of choosing one red cube from each.

.008 (.2x.2x.2)

500

are getting heads and getting tails on two coin tosses independent? What is the probability of getting heads both times?

Yes, .25 (.5x.5 Multiplication Rule for Independent Events

With and Without replacement

100

When sampling with replacement, the denominator  (number of possible outcomes) becomes smaller, T or F

False, only without replacement

200

In a bag with 15 balls, 3 are red. If we draw one red ball on the first trial and one on the second, then what is the probability we will draw a red one on the third drawing. 

P(R) = .077 (1/13)

300

There is a bag with 3 red balls, 4 blue balls, and 6 yellow balls (13 total), what is the probability of pulling a blue ball then a red ball with replacement

.071 (4/13 x 3/13)