#1) Suppose I roll two six sided dice. A) Is this experiment independent or dependent?

B) How many items will be in the sample space?

C) How many ways can I get both dice to come up as a 5?

D) What is the probability that both dice come up as a 5? (Write your answer as a fraction: numerator/denominator)

E) How many ways can I get the dice to come up with a total of 7?

F) What is the probability that the dice come up with a total of 7? (Write your answer as a fraction: numerator/denominator)

#2) Suppose I flip 3 coins.

A) Is this experiment independent or dependent?

B) How many items will be in the sample space?

C) How many ways can I get exactly 2 Tails?

D) What is the probability that I get exactly 2 Tails?

E) How many ways can I get exactly 3 Tails?

F) What is the probability that I get exactly 3 Tails?

G) What is the probability that I get at least 2 Tails?

Me on this one i will give you 20pts. answer should be in detail . this is the discussion topic. one of the most fiercely debated topics in sports is the hot hand theory. the hot hand theory says that success breeds success. in other words, rather than each shot a basketball player takes or each at-bat a baseball player has being an independent event, the outcome of one event affects the next event. that is, a player can get hot and make a lot of shots in a row or get a lot of hits in a row. the hot hand theory, however, has been shown to be false in numerous academic studies. read this article, which discusses the hot hand theory as it relates to a professional basketball player. state whether you agree or disagree with the hot hand theory, and give reasons for your opinion. be sure to use some of the terms you’ve learned in this unit, such as independent event, dependent event, and conditional probability, in your answer.

List the sides of δrst in in ascending order (shortest to longest) if: a ∠r =x+28°, m∠s = 2x+16°, and m∠t = x+12°

Given that sin∅ = 1/4, 0 < ∅ < π/2, what is the exact value of cos∅? a. (√4)/4 b. (√15)/4 c. (4π)/2 d. (4√2)/4