Question 4 of 8 1 Points Suppose E and G are events in the same sample space for some experiment. If we know Pr[E] = ", Pr[G] = >, and Pr[En G] = , determine Pr[E | G]. O A . 27 56 O B O C. OD. 16 O E. Reset SelectionQuestion 2 of 8 1 Points Suppose G and B are events in the same sample space for some experiment. Suppose G occurs 46% of the time, B happens three out of ten times the experiment is run, and both events occur with probability 0.15. Determine Pr[Gon Be]. O A. 0.31 O B. 0.61 O C. 0.24 O D. 0.15 O E. 0.39 Reset SelectionQuestion 3 of 8 1 Points Suppose we have a sample space S = {a, b, c, d} . If it is known that outcome c is twice as likely as outcome d, Pr[a] = Pr[c], and outcome b occurs one fifth of the time. Determine Pr[d]. O A. 1 15 8 O B. 25 O C. 25 IN OD. O E. Reset SelectionQuestion 7 of 8 1 Points Hillary is taking a multiple choice math test. Each question has seven presented answers, but only one is correct. If Hillary guesses randomly for each of the sixteen questions the test has, determine the probability that Hillary gets at most one question wrong, given that they got at least one question correct. O A. 97 716 _ 616 O B (10 ) + ( 16 ) 716 _ 616 O C. 97 716 716 - 616 OD 716 OE . 17 616 Reset SelectionQuestion 1 of 8 1 Points Which of the following is not a sample space for the experiment of flipping a coin 3 times? O A. {all the flips are heads, there are an odd number of tails} O B. { the first two coin flips are the same, the first two coin flips are different} O c. {all the flips are heads, exactly two tails are flipped, there are an odd number of tails} O D. {all the flips are heads, there is at least one tail} O E. { the last two coin flips are the same, the last two coin flips are different} Reset SelectionQuestion 6 of 8 1 Points Paolo has 9 different law textbooks, 7 different biology books and 11 different chemistry books. He arranges these twenty-seven books randomly on a shelf. What is the probability that books of the same subject are all together? 9!7!11! OA. 27! O B. CO / H 3! O c. 917!11! 31917!11! OD. 27! 1 OE. 9!7!11! Reset SelectionQuestion 8 of 8 1 Points A fair six-sided die is being rolled twice. Which of the following samples spaces is equiprobable? S1 = {the sum of the rolls is less than 7; the sum of the rolls is equal to 7, the sum of the rolls is greater than 7} S2 = {both rolls are even, both rolls are odd, only the first roll is odd, only the first roll is even} S3 = {the product of the rolls is odd, the product of the rolls is even} O A. S1 and S3 are the only equiprobable sample spaces O B. S2 and S3 are the only equiprobable sample spaces O C. only $2 is an equiprobable sample space O D. none of them are equiprobable sample spaces O E. all of them are equiprobable sample spaces Reset SelectionQuestion 5 of 8 1 Points Suppose E and D are independent events in the same sample space. If we know that Pr |E = 2 and Pr [D] = determine Pr Ec n D O A. TH OB. O C. OD. 7 30 Reset Selection