Diagrams & Sample Space
A restaurant sells a lunch combo it includes chicken nuggets or chicken tenders, with bbq, ketchup, honey mustard, or ranch. What is the sample space?
NB, NK, NM, NR, TB, TK, TM, TR
You have 6 shirts 9 pants and 2 pairs of shoes. How many outfits can you make?
108
If an event has 2 or more events, is it simple or compound?
Compound
You flip a coin and it lands on Heads. You flip it a second time. What is the probability that it lands on Heads again, and is this an independent or dependent event?
50% and independent
An ice cream shop sells 5 flavors: vanilla, chocolate, strawberry, cookies and cream, and mint. Theres 4 toppings: sprinkle, marshmallows, chocolate chips, and strawberry. And you can have it in either cup or cone. Construct a tree diagram to show possible outcomes
See slides
You have 9 shirts, 12 pants, and 4 shoes how many outfits can you make?
432
You flip a coin and then roll a 10 sided dice. What is the probability of getting heads and a even number higher then 4? Is this event simple or compound?
You have a bag of 10 candies: 4 are chocolate and 6 are fruit snacks. You grab one candy and eat it. Then, you grab a second candy. Is this event independent or dependent?
Dependent
A bag of jelly beans contains 5 different flavors: cherry, apple, lemon, orange, and grape. There are 4 of each flavor. Each time you pick a jelly bean at random, you check the flavor and put it back before picking again. You pick a jelly bean 3 times. Whats the total number of outcomes? make sure to use a tree diagram.
125
Natalie has a choice of black, blue, or a tan skirt to wear with a red, blue, or white sweater. Without calculating the number of posible outcomes how many outfits can she create if she adds a yellow sweater?
12
You roll a 20 sided dice and you have 4 different suits of aces. You roll the dice and fill a card up. What is the probability of getting a 20 and a spade? Is this a compound or simple event?
1/80 or 1.25% and compound
From a standard deck of 52 cards, you draw two cards one after the other without replacement. What is the probability that you draw two Aces in a row? Is this event independent or dependent?
0.45% and dependent