Weekly Reflection 12-5-18

The Binomial Probability Theorem:
There is no objective.

Binomial theorem is  n C r (probability of success)^r  * (probability of failure)^n-r

Binomial Probability Theorem example:
In the old days, there was a probability of \displaystyle{0.8} of success in any attempt to make a telephone call. \displaystyle{7}
Calculate the probability of having  successes in 10 attempts.

To calculate this all I need to do is plug this into the calculator as 10 C 7 (7/10)^7 * (3/10)^3
and get .266827932 then move the decimal place back two and round to get 27%.


One misconception I had was I did not know when to use nPr or nCr. I figured it out when I asked a friend and they explained to me that nPr is used when the problem has to be in order and to use nCr when there is no specific order that you have to use.

EQ: Give an example:
There is a bag of candy that you want at the store. The bag contains 10 snickers, 12 kit kats, 10 m&ms, and 15 reese's. What is the probability that you will draw out a kit kat randomly? 
There are 47 pieces of candy in the bag and 12 kit kats out of that 47. The probability of success is (12/47) and the probability of failure is (35/47). Now that I have this information I can plug it into the Binomial Theorem. 
47 C 12 (12/47)^12 * (35/47)^35              .132450963
There is a 13% chance of picking a kit kat.




\displaystyle{10}

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