Probabilities of At-Least

The probability that a randomly chosen American is a Republican is 0.35. What is the probability that in a sample of 10 Americans, that at least 1 will be a Republican? 

• a) 0.9865
• b) 0.2275
• c) 0.0725
• d) 0.0135

To find the probability of at least one, calculate

• 1 - P(E)

• 1 - P(none)

• P(E) + P(not E)

• 1 + P(E)

When rolling two dice, what is the probability that at least one of the dice shows a five?

• 5/36

• 5/12

• 1/3

• 11/36

A research team at Cornell University conducted a study showing that approximately 10% of all businessmen who wear ties wear them so tightly that they actually reduce blood flow to brain, diminishing cerebral functions. At a board meeting of 20 businessmen, all of whom wear ties, what is the probability that at least one tie is too tight?

• 27.0%

• 12.2%

• 73.0%

• 87.8%

An algebra 2 test has 5 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 5 questions, what is the probability that you get at least 1 question correct?

• 0.2373
• 0.3955
• 0.7627
• 0.6045

4.) The spinner above is spun twice. What is the probability of spinning a star section at least once?

• 15/16

• 7/16

• 3/4

• 9/16

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 1 of the first 5 blood donors have Type B blood? 

• 0.316
• 0.442

• 0.357

• Not here

When rolling two dice, the probability of rolling doubles is ⅙. Suppose that a game player rolls the dice five times, hoping to roll doubles. What is the probability the player gets doubles at least once in 5 attempts?

• 0.161
• 0.598

• 0.402

• 0.875

Barry Bonds has a career batting average of .298. What is the probability that he will get a hit at least once in 4 at bats?

• .757

• .579

• .2267

• 0.857

If you were to flip a coin 3 times, what is the probability you would get at least 1 head?

• 1/8

• 7/8

• 1/2

• 3/4