Donghoan Lee Assignment Homework 1 4 due 09 07 2021 at 11 59pm EDT FA21 BL MATH M118 11252 1 1 point Suppose an experiment has 3 stages A B and C If stage A has 6 outcomes stage B has 2 outcomes and stage C has 2 out comes how many outcomes does the entire experiment have Answer s submitted 24 correct 2 1 point A customer at a pizza shop wants to order a pizza A one topping pizza consists of choosing a crust a type of cheese and one topping If there are 3 crusts 6 types of cheese and 40 toppings to choose from how many one topping pizzas are possible Answer s submitted 720 correct 3 1 point A student ips a fair coin 6 times Answer the following ques tions 1 Suppose that after ipping the coin all six times the experimenter noted the number of heads How many outcomes are there in this sample space 2 Suppose now that after each ip the experimenter records the result i e H or T of the ip Find the number of outcomes in this sample space G HT H THTHH Answer s submitted 7 64 correct B F H 4 1 point In an experiment a four sided die marked with the numbers 1 through 4 on its sides is rolled three times If the result of each roll is recorded in succession so for example 3 1 4 is a possible outcome how many outcomes does the experiment have If the sum of all the rolls is recorded so for example 8 is a possible outcome how many outcomes does the experiment have Hint Suppose the experiment involved rolling a six sided die twice Then if the result of each roll is recorded we could look at the outcome as having two stages stage 1 the number that comes up on the rst roll and stage 2 the number that comes up on the second roll with six options for each stage That means that the total number of outcomes is 6 6 or 62 which is 36 outcomes On the other hand if only the sum of the rolls is recorded it s easy to see that the lowest possible outcome is 2 from rolling a 1 both times and the highest outcome is 12 from rolling a 6 both times It s also not too hard to see that every whole number from 2 to 12 could occur as the sum of the rolls To count all the outcomes we just count or calculate how many whole numbers there are starting at 2 and ending at 12 So in this case there are 11 outcomes Answer s submitted 3 Suppose now that the experimenter notes the result of each ip but she will end the experiment early if she gets two heads or two tails in a row She will still only ip a maximum of six times however Which of the following outcomes are possible in this experiment 64 10 correct A TTHTT B THH C HHTT D HTHTHTH E TTH F HTHTHT 5 1 point A standard deck of 52 cards consists of 4 suits with 13 cards each Two of the suits clubs and spades black while the other two suits hearts and diamonds are red Each suit consists of an ace A 2 3 4 5 6 7 8 9 10 jack J queen Q and king K Thus there are 4 of each type of card i e a 3 or Q one 1 of each suit in the deck An experiment consists of drawing 2 cards with replacement Answer the following questions are drawn 2 How many outcomes are in the event All the red balls 1 Suppose after drawing each card the experimenter writes down the color red or black of the card only How many outcomes are in the sample space 3 Which of the following outcomes are possible in this 2 If only the number letter on the card is noted how many outcomes are possible 3 Suppose now that the experimenter records the exact card e g 2 of hearts or K of diamonds How many outcomes are possible experiment A GRG B GRGR C GRRRG D RRGRGR E RGRRR F GRRGR G GGG H GG Answer s submitted 15 5 correct A C E H Answer s submitted 4 169 2704 correct 6 1 point 8 1 point Rework problem 7 from section 1 4 of your text involving the possible outcomes when rolling a die Assume that the die is rolled 2 times If the result is odd a 0 is recorded Otherwise the number is recorded 1 Which of the following is not a valid outcome for this exper iment An experiment consists of rolling a fair die some number of times Each time the experimenter rolls the die she records whether the result was even or odd The experiment ends when either an even number is rolled or the die is rolled 6 times 1 How many outcomes are there in the sample space A 02 B 46 C 60 D 50 2 How many outcomes are in the event The die is rolled at least 5 times 2 How many possible outcomes are there in the sample space Answer s submitted 7 3 correct 7 1 point An experiment consists of drawing balls from an urn without re placement There are 4 red balls and 2 green balls An outcome is a list of the colors drawn in the order in which they occurred The experiment ends when the balls remaining in the urn are all the same color Answer the following questions 1 How many outcomes are there in the sample space Answer s submitted D 16 correct 2 Note The textbook s version of this problem was solved on The Finite Show You can view the streaming video of this solution at TFS solution 9 1 point Rework problem 8 from section 1 4 of your text involving a product code Assume that X C G B E D and Y 5 6 1 7 3 A code consists of 2 different symbols selected from X followed by 2 not necessarily different symbols from Y How many different codes are possible Answer s submitted 500 correct 10 1 point A coin is ipped once If the result is a heads the coin is ipped 3 more times and the result heads or tails of each successive ip is noted If the result is a tails the coin is ipped 2 more times and the result of each successive ip is noted How many possible outcomes are in the sample space of this experiment Note The textbook s version of this problem was solved on The Finite Show You can view the streaming video of this solution at TFS solution Answer s submitted 12 correct 11 1 point Pease s Candy Shop has eleven different kinds of chocolate bars four kinds of milk chocolate ve kinds of dark choco late and two kinds of white chocolate Li is going to buy two bars one milk chocolate …