Presentation on theme: "Sample Space A theater uses a letter to show which row a seat is in, and a number to show the column the seat is in. If there are rows A-J and numbers."— Presentation transcript:
1Sample SpaceA theater uses a letter to show which row a seat is in, and a number to show the column the seat is in. If there are rows A-J and numbers 1-20, how many seats are in the theater?200 seatsHow does this relate to sample space in probability?
2Sample Space is the set of all possible outcomes of a situation If the theater has A-J rows and 1-20 seats, what is the probability you sit in any seat in row D?Probability of sitting in row D or E?
3In Probability: Number of favorable outcomes = Number of possible outcomesP(choosing red marble from bag of 5 yellow, 3 black and 4 red)4/12 = 1/3P(rolling 7 on 2 number cubes)6,1+5,2+2,5+3,4+4,3+1,6 = 6/36 = 1/6P(flipping coin twice and getting 2 heads)½ * ½ = ¼Why do you add versus multiply in probability?
4List all the possible outcomes first. Susan, Joanne, and Dianne are triplets. Susan has red, blue, green and yellow sweaters. Joanne has green, red, purple and white sweaters. Dianne has red, blue, purple, and mauve. They pick sweaters to wear at random.List all the possible outcomes first.P(each girl chooses different color)21/32P(each girl chooses same color)1/64P( two girls choose same color, and third chooses different color)21/64P(each girl chooses a red sweater)
5Theoretical Probability – what theoretically should happen A letter is selected at random from letters of FLORIDA. What is probability the letter is an A?7 letters to choose from (possible outcomes)1 A possible (favorable outcome)1/7Complement of event A (not A)?7 to choose from (possible outcomes)6 not As6/7Probabilities of an event and its complement add to 1 or 100%
6Theoretical Probability Use the letters MATHEMATICS. Find each probability.1) P(M)2/112) P(not vowel)7/11P(not E)10/11P(T or S)2/11 + 1/11 = 3/11