Hi, I need help with these questions. Thank you!

A special deck of cards has 5 green cards , and 3 yellow cards. The green cards are numbered 1, 2, 3, 4, and 5. The yellow cards are numbered 1, 2, and 3. The cards are well shuffled and you randomly draw one card. G = card drawn is green E = caid drawn is even-numbered a. How many elements are there in the sample space? 8 (Round to 4 decimal places) A special deck of cards has 4 orange cards, and 3 red cards. The orange cards are numbered 1, 2, 3, and 4. The red cards are numbered 1, 2, and 3. The cards are well shuffled and you randomly draw one card. A = card drawn is orange B = card drawn is odd-numbered a) How many elements are there in the sample space? 7 & (Type your answer as a reduced fraction.) x (Type your answer as a reduced fraction.) A bag contains 7 red marbles, 5 white marbles, and 8 blue marbles. You draw 3 marbles out at random, without replacement. Find the following probabilities and round to 4 decimal places. a. The probability that all the marbles are red is b. The probability that none of the marbles are red is Suppose that 60% of all voters prefer the Democratic candidate. Let X be the number of people who prefer the candidate when 4 people are surveyed at random. Please show the following answers to 4 decimal places. a. What is the probability that exactly 2 voters who prefer the Dmocratic candidate in the survey? b. What is the probability that less than 2 voters who prefer the Democratic candidate in the survey? c. What is the probability that at most 2 voters who prefer the Democratic candidate in the survey? d. What is the probability that between 1 and 3 (including I and 3) voters who prefer the Democratic candidate in the survey? local county has an unemployment rate of 4.4%. A random sample of 6 employable people are picked at random from the county and are asked if they are employed. The distribution is a binomial. Round answers to 4 decimal places. a) Find the probability that exactly 4 in the sample are unemployed. b) Find the probability that there are fewer than 2 in the sample are unemployed. c) Find the probability that there are more than 4 in the sample are unemployed. d) Find the probability that there are at most 2 in the sample are unemployed. 0.9985 v' & 0.9985