Probability Sample Space is the set of all

Probability

Sample Space: is the set of all possible outcomes Example: rolling dice sample space = {1, 2, 3, 4, 5, 6} flipping a coin sample space = { H, T} Find the sample space of flipping a coin and rolling a dice. How many outcomes are in the sample space? Flip a coin Heads Tails Roll the dice 1 2 3 4 5 6 Sample space = {H 1, H 2, H 3, H 4, H 5, H 6, T 1, T 2, T 3, T 4, T 5, T 6} There are 12 possible outcomes when you flip a coin then roll a die

Your choice of school clothes: Shirt: blue, white, black Bottoms: blk pants, tan shorts, blk shorts Socks: red, blue, black, tan, white Sample Space Example: How many days in a row could you come to school with a different outfit? Sample space: White Shirt Black Shirt Red Blue Black Tan white Black Shorts Tan pants Red Blue Black Tan white which would cover 3 full months before having to repeat an outfit! Tan Shorts Black pants Red Blue Black Tan white There are 60 different outfits you could wear to school, Red Blue Black Tan white Black Shorts Red Blue Black Tan white Tan pants Red Blue Black Tan white Black pants Blue Shirt

Tan pants Red Blue Black Tan white Black Shorts Tan Shorts Black pants Red Blue Black Tan white White Shirt Red Blue Black Tan white Black Shorts Tan pants Black pants Red Blue Black Tan white Red Blue Black Tan white Sample Space Example: Your choice of school clothes: Shirt: blue, white, black Bottoms: blk pants, tan shorts, blk shorts Socks: red, blue, black, tan, white Black Shirt Blue Shirt

Tan pants Red Blue Black Tan white Black Shorts Tan Shorts Black pants Red Blue Black Tan white White Shirt Red Blue Black Tan white Black Shorts Tan pants Black pants Red Blue Black Tan white Red Blue Black Tan white Sample Space Example: Your choice of school clothes: Shirt: blue, white, black Bottoms: blk pants, tan shorts, blk shorts Socks: red, blue, black, tan, white Black Shirt Blue Shirt

Probability of an event: Is the measure of the likelihood or chance that the event will occur. The chance of something happening is a number between zero and 1. Example: What is the probability of serving potatoes this week for lunch? The chance of zero means it will never happen It can be expressed as a decimal, fraction, or percent. Example: What is the probability the moon is made of green cheese? The chance of one means it will always happen Example: What is the probability of the sun rising tomorrow morning? P=0 Impossible P=0. 25 unlikely P=0. 5 equally could happen or not P=0. 75 P=1 likely certain

Calculating Probability:

Example: You and your friend designed T-shirts with silk-screened writing and are selling the T-shirts to raise money for the Speech Team. The table below shows the number of shirts in each design. Shirt Football logo Basketball logo Blue 10 10 White 8 12 Grey 16 6 What is the probability of a student choosing a T-shirt that is blue? What is the probability of choosing a white basketball shirt? What is the probability of choosing a football shirt?

Odds in favor and Odds against

Spinner Example: If each section of the circle is the same size and just as likely to be chosen: Find P(purple) = Find P(even number) = Find P(multiple of 3 or red) = Find P(multiple of 5 and yellow) = Find P(prime number) = What are the odds in favor of landing on blue? What are the odds against landing on red?

Tan pants Red Blue Black Tan white Black Shorts Tan Shorts Black pants Red Blue Black Tan white White Shirt Red Blue Black Tan white Black Shorts Tan pants Black pants Red Blue Black Tan white Red Blue Black Tan white Sample Space Example: Your choice of school clothes: Shirt: blue, white, black Bottoms: blk pants, tan shorts, blk shorts Socks: red, blue, black, tan, white Black Shirt Blue Shirt

What are the odds against wearing a blue shirt and white socks? Tan pants Red Blue Black Tan white Black Shorts Tan Shorts Black pants Red Blue Black Tan white White Shirt Red Blue Black Tan white Black Shorts Tan pants Black pants Red Blue Black Tan white Red Blue Black Tan white Sample Space Example: Your choice of school clothes: Shirt: blue, white, black Bottoms: blk pants, tan shorts, blk shorts Socks: red, blue, black, tan, white Black Shirt Blue Shirt

Homework Worksheet 13. 1