probability Assessment(21-May-'25)

An 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 exactly 3 questions correct? (You need to figure out the p value first. It is not given to you.)

• 0.962
• 0.132
• 0.831
• 0.250

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school.What is the probability that exactly 2 of the first 20 blood donors have Type B blood? 

• 0.316
• 0.282
• 0.001
• Not here

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?

• 0.6%
• 0.00001%
• 0.0064%
• 0.0002%

Bob is taking a 100 question test.  They have a 90 % probability of getting any one question correct.  WHICH IS THE CORRECT FORMULA TO FIND OUT THE PROBABILITY that they will answer EXACTLY 70  questions correctly?

• ₁₀₀C₇₀   ( 0.18  )³⁰ ( 0.90  )⁷⁰
  
• ₁₀₀C₇₀   ( 0.10  )³⁰ ( 0.90  )⁶⁰
• ₁₀₀C₇₀   ( 0.10  )³⁰ ( 0.90  )⁷⁰
• ₉₉C₇₀   ( 0.10  )³⁰ ( 0.90  )⁷⁰

Find the probability that more than 3 pupils come to school by school buses 

• 0.2415

• 0.2005

• 0.0401

Find P(X = 2)

• ⁵/₃₆

• ¹/₁₂

• ¹/₃₆

• ¹/₉

Find P(X = 5)

• ¹¹/₃₆

• ¹/₄

• ⁵/₁₈

• ¹/₉

Find P(X ≤ 5)

• 0.2

• 0.3

• 0.5

• 0.7

Two fair dice are rolled and the numbers that appear are added. What is the probability that this sum is at least 5?

• 5/12

• 5/36

• 5/6

• 1/6

Let set A = {1, 2, 3, 4} and set B = {2, 3, 5, 7}. One number is chosen at random from each set and their sum is calculated.

What is the probability that this sum is exactly 6?

• 3/16

• 3/8

• 1/16

• 1/4