Two drunks start out together at the origin, each having equal probability of making a step to the left or right along the x axis. find the probability that they meet again after n steps. it is to be understood that the drunks make their steps simultaneously. (it may be to consider their relative motion.) (reif problem 1.8) hint: instead of considering that the two drunks make their steps simultaneously, consider the drunks making steps alternately.

Name these type of angles shown check all that applies

Student price tickets to a movie are $1 and non student tickets are $2. 350 tickets are sold and the total amount made is $450. how many non student tickets were sold ? a) 100 b) 150 c) 200 d)250

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.