16-3 the binomial probability theorem. lets roll a die 3 times look at the probability of getting a...
DESCRIPTION
Check out our results 3 sixes2 sixes1 six0 sixes OutcomeSSSSSNSNSNSSSNNNSNNNSNNN ProbabilityTRANSCRIPT
16-3
The Binomial Probability Theorem
Let’s roll a die 3 timesLook at the probability of getting a 6
or NOT getting a 6. Let’s make a tree diagram.
Check out our results3 sixes 2 sixes 1 six 0 sixes
Outcome SSS SSN SNS NSS SNN NSN NNS NNN
Probability
61
65
65
65
65
65
65
61
65
61
65
61
61
61
61
65
61
61
61
61
65
65
65
61
3
61
65
613
2 2
65
613
3
65
Does this look familiar?
3
61
65
613
2 2
65
613
3
65
3
61
65
613
2 2
65
613
3
65
COMPARE!!!
)1(65 and
61Let pp
3(1 )p p
3 3 2 2 3(1 ) 3 (1 ) 3 (1 ) (1 )p p p p p p p p
Binomial Probability Theorem
rnr
rn fsC
n = the number of trialsr = the number of successess = the probability of a successf = the probability of a failure
ExampleYou flip a coin 10 times. What is the
probability of getting exactly 4 heads?