Study Types Probability

Calculate the probability of the situation below:

There are nine shirts in your closet, four blue and five green. You randomly select a shirt, return it, and randomly select a second shirt. What is the probability of selecting a blue shirt both times?

• .198

• .167

• .247

• .278

Calculate the probability of the situation below: There are fifteen shirts in your closet, seven grey and eight green. You randomly pull out one shirt to wear on Monday and then pull out a different one to wear on Tuesday. You wear a grey shirt on Monday and a green shirt on Tuesday.

• .028

• .222

• .231

• .267

Calculate the probability of the situation below:

In a group of students, 30 take Philosophy, 23 take Sociology, and 12 take both. What is the probability that, given the student takes Sociology, they also take Philosophy?

Calculate the probability of the situation below: In the United States, 56% of all children get an allowance, and 41% of all children get an allowance and do household chores. What is the probability that that a child gets an allowance given that the child does household chores?

• 93%

• 73%

• 55%

• 36%

Match the following probability types to their definitions.

• Independent probability

• When two events do not change each other's probability

• Theoretical probability

• What we think is going to happen based on math when we do something like flip a coin

• Experimental probability

• What actually happened based on our data

• Dependent probability

• When one event changes the entire probability space for the next event

What your results should look like

• favorable outcome

• experimental probability

• Theoretical probabilty

• possible outcome

What your results should look like

• favorable outcome

• experimental probability

• Theoretical probabilty

• possible outcome

Calculate the probability of the situation below: At Mt. Summit, patrons have the option of snowboarding or skiing. Based on a survey of people at Mt. Summit, patrons disclosed whether they could snowboard, ski, or both. What is the probability that, given a patron can snowboard, they can also ski?

Calculate the probability of the situation below: At a middle school, 18% of all students play football and basketball and 32% of all students play football. What is the probability that a student plays football given that the student plays basketball?

• 56%

• 45%

• 50%

• 81%

Calculate the probability of the situation below:

Winston designs bow ties for a local boutique store. The store manager counted the ties currently on display, tracking them by material and shape. What is the probability that a randomly selected bow tie is shaped like a batwing given that the bow tie is made of suede?