QUESTION 1 An experiment consists of (1) rolling a 6-sided fair die, followed by (2) a fair coin toss, and finally (3) drawing a card from a deck of 10 cards numbered 1-10. How many outcomes are there in the sample space (i.e. how many total possible unique outomces exist)? QUESTION 2 An experiment consists of (1) rolling a 6-sided fair die, followed by (2) a fair coin toss, and finally (3) drawing a card from a deck of 10 cards numbered 1-10. How many outcomes are there in the event defined as drawing an even card during operation (3) of the experiment? QUESTION 3 An experiment consists of (1) rolling a 6-sided fair die, followed by (2) a fair coin toss, and finally (3) drawing a card at random from a deck of 10 cards numbered 1-10. Determine the probabilty of drawing an even card during a random run of this experiment. Provide your answer as a decimal value between 0.0 and 1.0, up to 3 decimal places (e.g. 0.127) if necessary. QUESTION 4 Using the digits 2, 3, 4, 7, and 8, how many unique, even, 3-digit numbers with no repeated digits, can be generated? QUESTION 5 There are 5 distinct textbooks (history, chemistry, physics, math, and literature) on a table, but only spots for 3 of them on the bookshelf. We interested in the total number of 3-book arrangments, where the order matters. How many possible 3-book bookshelf arrangements of the 5 total books exist