Binomial Probabilities

What does the p stand for in the binomial probability formula?

• Total number of trials

• Number of desired successful outcomes

• Probability of each success

• Probability of each failure

What does the x stand for in the binomial probability formula?

• Total number of trials

• Number of desired successful outcomes

• Probability of each success

• Probability of each failure

How do you find q in the binomial probability formula.

• n - x

• 1 + p

• p - 1

• 1 - p

Which expression would correctly calculate the probability:

Jim is taking a 15 question multiple choice test. Each question has 4 answers. Find the probability that Jim will get exactly 11 of the questions correct.

• $_{15}C_{11}\times.25^{11}\times.75^4$

• $_{15}C_{11}\times.25^{15}\times.75^{11}$

• $_{15}C_{11}\times.75^{11}\times.25^4$
  

• $_{15}C_{11}\times.25^{11}\times.25^4$

Which expressions would be used within the sum to correctly calculate the probability: (select all that apply)

Find the probability that Nancy will make at least 8 of her 10 free throws if she is an 80% free throw shooter.

•  $_{10}C_7\times.8^7\times.2^3$ 

•  $_{10}C_8\times.8^8\times.2^2$ 

•  $_{10}C_9\times.8^9\times.2^1$ 
  

•  $_{10}C_6\times.8^6\times.2^4$ 

•  $_{10}C_{10}\times.8^{10}\times.2^0$  

If you were to flip a coin 20 times, what is the probability you would get exactly 11 heads?

• .5

• .329

• .160

• .240

A test consists of 10 multiple choice questions with five choices for each question. As an experiment, you guess on each and every answer without even reading the questions.

What is the probability of getting exactly 6 questions correct on this test?

• 0.006

• 0.004

• 0.009

• 0.007

An Honors Algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get at least 5 questions correct?

• 0.005

• 0.002

• 0.003

• 0.006

Justin Tucker is currently the best field kicker in the NFL making 91% of all his field goals. Find the probability that he will make at least 18 of his next 20 field goal kicks.

• .733

• .910

• .452

• .831