Lesson 74- Using the Binomial Theorem to Calculate Probabilities

Investigate:

P (exactly x correct guesses in 6 rolls) = 6Cx (1/6)^x (5/6) ^6-x
note: The # of pathways with x C's times the probability of a specific pathway with x C's
Example 1:
P(exactly 6 correct guesses in 6 rolls) = 6C6(1/6)^6= 0.0000214
Note: calculations like these that use the word exactly you may use the function call Binompdf, put in the # of plays, chances, guesses
Binompdf (6,1/6,6)= 0.0000214

If the question says at least or at most in the question you must use Binomcdf:
P(at most to heads in 12 flips)= binomcdf( 12, 0.5, 2)= 0.0192

Binomial Experiment:
A binomial experiment consists of:
- a fixed number of independent and identical trials
- only two possible outcomes ( success or failure) per trail

Binomial Probability:

The probability of getting x successes and n-x  failures in n trials is
P(x)= nCx p^x q^n-x          P=success   Q= failure