ellie and her brother are at a store shopping for a beanbag chair for their school's library. The store sells beanbag chairs with different fabrics and types of filling.Foam BeadsVelvet 4 4Suede 5 3What is the probability that a randomly selected beanbag chair is made from suede and is filled with foam?Simplify any fractions.

Frank and his brother are at a store shopping for a beanbag chair for their school's library. The store sells beanbag chairs with different fabrics and types of filling.The probability that a beanbag chair is made from suede is 0.6, the probability that it is filled with beads is 0.2, and the probability that it is made from suede and is filled with beads is 0.1.What is the probability that a randomly chosen beanbag chair is made from suede or is filled with beads?Write your answer as a whole number, decimal, or simplified fraction.

Quiz Question Alice and Bob are sitting directly across from each other at a circular table withsix chairs. They decide to move chairs.At each step, Alice and Bob will move according to the following rules.AliceBob(1) Alice chooses a chair randomly, which is equally likely to be the chair on her left, the chairon her right, or her current chair. Independently, Bob also chooses a chair randomly,which is equally likely to be the chair on his left, the chair on his right, or his currentchair.Alice’s choice of chair at this step is unaffected by where Bob is sitting, and similarly forBob’s choice of chair.(2) Then Alice and Bob compare their choices. If they have chosen the same chair, then Aliceand Bob do not move. Otherwise, if they have chosen different chairs, then they eachmove to the chair they chose.If Alice and Bob are sitting next to each other at the current step, and if they each choosethe other person’s chair, then they will swap chairs.

Quiz Question Alice and Bob are sitting directly across from each other at a circular table withsix chairs. They decide to move chairs.At each step, Alice and Bob will move according to the following rules.AliceBob(1) Alice chooses a chair randomly, which is equally likely to be the chair on her left, the chairon her right, or her current chair. Independently, Bob also chooses a chair randomly,which is equally likely to be the chair on his left, the chair on his right, or his currentchair.Alice’s choice of chair at this step is unaffected by where Bob is sitting, and similarly forBob’s choice of chair.(2) Then Alice and Bob compare their choices. If they have chosen the same chair, then Aliceand Bob do not move. Otherwise, if they have chosen different chairs, then they eachmove to the chair they chose.If Alice and Bob are sitting next to each other at the current step, and if they each choosethe other person’s chair, then they will swap chairs.Define Xn to be the distance between Alice and Bob, measured in terms of chairs, after n steps.This means: If Alice and Bob are sitting next to each other, then the distance is defined to be1. If Alice and Bob are sitting directly across from each other, the distance is defined to be 3.Otherwise the distance is defined to be 2. These three possibilities are illustrated below:AliceBobDistance 1Alice BobDistance 2AliceBobDistance 3The stochastic process (Xn, n = 0, 1, 2, . . . ) is a Markov chain with state space S = {1, 2, 3}.(a) Consider the situation where Alice and Bob are at state Xn = 3 (i.e., across from eachother). What are the way(s) they could choose chairs in order to reach state 1 (i.e., besideeach other) after one step? What is the probability of this happening? Which transitionprobability have you just found?(b) What are the way(s) they could choose chairs in order to stay at state 3 after one step?What is the probability of this happening? Which transition probability have you justfound?(c) Part of the transition matrix is given below. Fill in the missing entries.P =6/92/9 2/94/92

If the wrong word is used below, change it. If there is no error, click "Submit Answer."Jonathan Joestar is going to ​lay those new beanbag chairs on the living room floor.

Brett is a sandwich maker at a local deli. Last week, he tracked the number of peanut butter and jelly sandwiches ordered, noting the flavor of jelly and type of peanut butter requested.Creamy peanut butter Chunky peanut butterStrawberry jelly 7 6Grape jelly 8 3Orange jelly 2 3What is the probability that a randomly selected sandwich was not made with orange jelly and was not made with creamy peanut butter?Simplify any fractions