Create the sample space where one coin is flipped and then one die is rolled.

Given: ,  , and  

A card is drawn from a well-shuffled standard deck of 52 cards. Find the probability of drawing a face card.

Two cards are drawn from a well-shuffled standard deck of 52 cards. The first card is drawn, then replaced, and a card is drawn again. What is the probability that a black card is drawn, and then a black seven is drawn?

A fair die is rolled. Find the probability that the number is greater than 3.

Thoroughly explain why for arbitrary sets  and ,

Create a tree diagram and find the probability. The DMV states that the probability of a person passing the test for a driver’s license on the first try is 0.75. The probability that an individual who fails on the first test will pass on the second try is 0.70, and the probability that an individual who fails the first and second tests will pass the third time is 0.60. Find the probability that an individual will fail three times in a row. Enter your answer as a decimal rounded to two places.

If cells are grown in media containing amino acids labeled with radioactive Sufur (S-35), most of the radioactivity will be found in the cells. 

Cells that can tolerate high salt concentration are known as 

Which of the following bacteria are cocci shaped?