For all 7 questions I ONLY need the correct answer. I DO NOT need an explanation. Thank you, I will give a good rating!

Question 1: Choose the correct answer shown below:

Eight students are working on a group project together and cannot decide who should be the group leader. They decide to choose a leader at random Which technique would not be fair for selecting a leader? O Choose eight cards from a deck of cards, including exactly one queen. Shuffle the cards and deal one to each student. The student who gets the queen is the leader. O Write each of the students' names on slips of paper and put them into a hat. Pick a slip of paper from the hat at random. O Choose a student and flip a coin. If the coin is heads, the student is the leader. If it's tails, go on to the next student and repeat the process. O Assign every group member a number, then use a random number generator to pick one of the numbers.Three players are playing a game to decide who wins a prize. Which method of choosing a winner results in a fair game? O Each player makes and throws a paper airplane. The player whose airplane travels the farthest is the winner. Three spinners, labeled A, B, and C, are numbered 1 through 8, 1 through 7, and 1 through 6, respectively. The sectors on each spinner have equal areas. The first player makes a 3-digit number ABC (with the number from spinner A in the hundreds place, the number from B in the tens place, and C O in the ones place). The second player makes the 3-digit number BCA. The third player makes the 3-digit number CBA. The player whose number is greatest is the winner. O One player rolls a number cube. If the number that comes up is a 1 or a 2, the first player wins. If the number that comes up is a 3 or a 4, the second player wins. If the number that comes up is a 5 or a 6, the third player wins. O Each player rolls two number cubes. If the product of the numbers on the die is 1 to 12, the first player wins. If the product of the numbers is 13 to 24, the second player wins. If the product of the numbers is 25 to 36, the third player wins.A group of 12 friends playing a game wants to use a random number generator to decide who goes first. The generator will only create 2-digit numbers from 00 to 99. Which method would produce a fair decision about who goes first? O Let 00 represent the first friend, 01 the second, and so on. Continue assigning numbers to friends until all 100 numbers are assigned. O Let the numbers from 00 to 07 represent the first friend, 08 to 15 represent the second, and so on. Once all friends are assigned a group of numbers, leave the remaining numbers unassigned. O Let the numbers from 00 to 11 represent the first friend, 12 to 23 represent the second, and so on until all 100 numbers are assigned. O Generate a number for the first friend. If it is between 00 and 11, that friend goes first. If not, repeat for the second friend, and so on.A bag of marbles contains 16 marbles, one of which is red. 4 friends are playing a game in which whoever gets the red marble wins. Which procedure does not make the game fair? The friends take turns picking single marbles from the bag. If a person gets the red marble, they win. If not, they put the marble they picked back in the bag and the game continues. 0 The friends take turns picking from the bag, 4 marbles at a time. If a person gets the red marble, they win. If not, they keep the marbles they picked and the game continues. 0 The friends take turns picking single marbles from the bag. If a person gets the red marble, they win. If not, they keep the marble they picked and the game continues. 0 Each friend takes 4 marbles from the bag and doesn't look at them. Alter every player has 4 marbles, they all reveal their marbles simultaneously. Whoever has the red marble wins. Which of these is not a fair game for two players? O Roll a number cube. If the number that comes up is prime, the first player wins. If the number that comes up is not prime, the second player wins. O Roll two number cubes, if the product of the two numbers is even, the first player wins. If the product is odd, the second player wins. O Toss two coins. If the coins come up with the same face, the first player wins. If the coins come up with different faces, the second player wins. O Toss a coin. If the coin lands heads, the first player wins. If it lands tails, the second player wins.While watching scary movies one night, 8 friends hear a loud noise in the basement. They decide that they all should go to investigate the noise. Which of these describe a fair method to determine who goes down the basement stairs first? O Have the friends take turns flipping a coin. The first friend to get heads goes first. O Assign a number to each friend and roll a fair number cube to select one. O Have the friends take turns flipping a coin twice. The first friend to get two heads goes first. O Assign a different outcome for flipping a coin 3 times to each friend and flip a coin 3 times.The table below shows the results of an allergy test on a group of people. Based on these results, a doctor decides to prescribe allergy medication to every patient who tests positive. Is this a good decision? Whyr or why not? Has allergy Does not have allergy Tess positive Tests negative 35 15 80 BK] '115 385 Fatal 50 95D 1 E100 0 Yes, because 11.5% of the patients tested positive for the allergy O No, because about ?0% of the patients who tested positive don't have the allergy O No, because TO'ti: of the patients who have the allergy tested positive for the allergy 0 Yes, because T091: of the patients who have the allergy tested positive for the allergy