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Suppose you roll a standard 6-sided die one time. What is the probability that you would roll a number greater than 2? Recall that the sample space for this scenario would be .   Make sure to type in your answer as a decimal rounded to 2 decimal places. For example, if you thought the answer was 0.12345 then you would type in 0.12. 

Suppose the events A & B are independent and you are told that

Consider the table below that shows how many students from each year are in each of the Hogwart’s houses. Use this information to answer the probability question that follows.  Hint: I would recommend finding the totals for each row and column first.  Probability Table Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Year 7 Ravenclaw 30 38 34 33 39 31 35 Hufflepuff 36 33 29 37 39 35 34 Gryffindor 32 36 41 32 33 35 35 Slytherin 34 32 36 39 33 32 31   Find the probability that a randomly selected student is in Gryffindor and Slytherin.    Make sure to type in your answer as a decimal rounded to 3 decimal places. For example, if you thought the answer was , then you would type in 0.431.

Some believe that Captain America can run the fastest mile of any person alive. In order to test this theory, Captain America decided to run the mile multiple times and record how long it took him (in seconds) to run each one. He decided to attempt running the mile 40 times and determine his average mile time. Let’s assume his true mean mile time was 138 seconds with a standard deviation of 16 seconds. Use this information to find the following probability.  What is the probability that his average mile time would be at most 139 seconds?   Make sure to round your final answer to 3 decimal places. For example, if you thought the answer was 0.123456 then you would type in 0.123.

Suppose you have a jar that contains 10 marbles: 5 black, 3 yellow, and 2 orange. If you were to select 1 marble at random from the jar, return that marble to the jar and then select a second marble at random from the jar, what is the probability that both marbles would be yellow?   Type in your answer as a decimal rounded to 2 places. For example, if you thought the answer was 54.321% then you would type in 0.54. 

Suppose you flip a coin in the air one time and record the result (Heads or Tails) as it lands. Then you flip the coin again and record the result a second time. Find the following probability: What is the probability that you get “Tails” on exactly 1 toss?   Make sure to type in your answer as a decimal rounded to 2 decimal places. For example, if you thought the answer was 0.12345 then you would type in 0.12. 

Suppose you have a jar that contains 20 marbles: 5 red, 7 blue, 4 green, and 4 black. If you were to select 1 marble at random from the jar, what is the probability that you would pull 1 red marble?   Type in your answer as a decimal rounded to 2 places. For example, if you thought the answer was 54.321% then you would type in 0.54. 

Some believe that Captain America can run the fastest mile of any person alive. In order to test this theory, Captain America decided to run the mile multiple times and record how long it took him (in seconds) to run each one. He decided to attempt running the mile 40 times and determine his average mile time. Let’s assume his true mean mile time was 138 seconds with a standard deviation of 16 seconds. Use this information to find the following probability.  What is the probability that his average mile time would be greater than 139 seconds?   Make sure to round your final answer to 3 decimal places. For example, if you thought the answer was 0.123456 then you would type in 0.123.

Some believe that Captain America can run the fastest mile of any person alive. In order to test this theory, Captain America decided to run the mile multiple times and record how long it took him (in seconds) to run each one. He decided to attempt running the mile 40 times and determine his average mile time. Let’s assume his true mean mile time was 138 seconds with a standard deviation of 16 seconds. Use this information to find the following probability.  What is the probability that his average mile time would be less than 136 seconds or greater than 140 seconds?   Make sure to round your final answer to 3 decimal places. For example, if you thought the answer was 0.123456 then you would type in 0.123.

Select the term/concept below that most closely matches the following definition: “Any subset of the sample space”