Independent Events
What are independent events?
Events where one event does not effect the probability of another
When sampling with replacement, the denominator (number of possible outcomes) becomes smaller, T or F
False, only without replacement
the probability of pulling a blue block is 10%. What is the probability of pulling at least one block that is blue if you draw three times?
1-P(Not Blue)^3=.271
What is the Multiplication Rule of Independent events
To find the probability of two or more independent events, multiply the probability of each.
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)
the probability of pulling a blue block is 10%. What is the probability of pulling at least one block that is blue if you draw four times?
1-(P(Not Blue))^4 = .3439
What is the probability we use to assess whether an event is "unusual"
.05
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)
the probability of pulling a blue block is 5%. What is the probability of pulling at least one block that is blue if you draw three times?
1-(p(Not Blue))^3=.1426
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)
There is a bag with 13 red block and 14 blue blocks. What is the probability of pulling RB (P(RB)) without replacement?
.2593 (13/27 x 14/26)
the probability of pulling a blue block is 13%. What is the probability of pulling at least one block that is blue if you draw five times?
.5016
Yes, .25 (.5x.5 Multiplication Rule for Independent Events
There is a bag with 13 red block and 14 blue blocks. What is the probability of pulling RBR (P(RBR)) without replacement?
.1244 (13/27 x 14/26 x 12/25)