A multiple-choice test consists of 9 questions. Each question has answer choices of a, b, c, and d, and only one of the choices is correct. If a student randomly guesses on each question, what is the probability that he gets at least 3 of them correct? Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places. (If necessary, consult a list of formulas.)

Solve Question 1 and show work. Please and thank you.

In an​ experiment, college students were given either four quarters or a​ $1 bill and they could either keep the money or spend it on gum. The results are summarized in the table. Complete parts​ (a) through​ b. a. Find the probability of randomly selecting a student who spent the​ money, given that the student was given a​ $1 bill. The probability is ​(Round to three decimal places as​ needed.)   b. Find the probability of randomly selecting a student who kept the​ money, given that the student was given a​ $1 bill. The probability is ​(Round to three decimal places as​ needed.)

a. Provide two independent events that you know the probability of.b. Explain how you know these events are independent.c. Find the probability that they both occur.  a. Provide two dependent events.b. Explain how you know these events are dependent.c. Explain why these dependent events might require a different method for calculating the probability of both events occurring.   Please number your responses to the questions as they are shown (1a, 1b, 1c, 2a, 2b, and 2c).

A students takes a 5 - question, multiple-choice exam with four choices for each question and guesses on each question. Find the probability of guessing exactly 2 out of 5 correctly. O 0.205 O 0.063 0.264 O None of these answers