Presentation on theme: "Everything you need to know about in grade 6 Probability."— Presentation transcript:
1Everythingyou need toknow aboutin grade 6Probability
2(The chance of something happening) Probability(The chance of something happening)Certain (100% sure it will happen)Likely (Large chance it will happen)Possible (It may or may not happen)Unlikely (Small chance it will happen)Impossible(100% sure itwill not happen)
3There are 2kinds ofprobabilityexperimentalprobabilitytheoreticalprobability
4Experimental Probability (Based on the results of an experiment) For example:When rolling a die fivetimes, what is theexperimental probabilityof getting a six?So, in this case…the experimentalprobability of gettinga six is2 or 40%5Out of my 5 tests,I rolled a six twice
5Theoretical Probability (Based on all the possible outcomes) So… The theoreticalprobability of gettinga six is16For example:When rolling a die,what is thetheoretical probabilityof getting a six?Rolling a 6 isone out of sixpossible outcomes
6Theoretical Probability We can also determine all possible outcomes in situations withmultiple factors.
7When I go out for dinner with my family, I get to order an For example:When I go out for dinner withmy family, I get to order anappetizer, main dish, anddessert.The appetizers ontonight‘s menu are gardensalad or mushroom soup.The main dishes are beef stew,lasagna, or grilled chicken.The desserts are fruit salador sorbet.List all the possible mealcombinations.
8I can lay out all my options in a TREE DIAGRAM I can follow the branches of my diagramto see all my possible combinations.I will list my appetizer options first.I can count the items in the right columnto know the amount of choices I have.Next, I will list my main dish options.Last, I will list my dessert options.I count 12 possible choices.Fruit SaladBeef StewSorbetGardenSaladFruit SaladLasagnaSorbetGrilled ChickenFruit SaladSorbetFruit SaladBeef StewSorbetMushroomSoupFruit SaladLasagnaSorbetGrilled ChickenFruit SaladSorbet
9There are 12 possible choices If all I wanted to know washow many possiblecombinations there were,I could have created a tableI could then multiply togetherthe amount of choices ineach category to determinethe total number ofpossible combinations2 x 3 x 2 = 12There are 12 possible choices2choicesX3choicesX2choicesAppetizersMain DishesDessertsGarden SaladBeef StewFruit SaladMushroom SoupLasagnaSorbetGrilledChicken
10Let’s see if you can answer some probability questions… Sam actually only gotheads onceDid he do anything wrong?If Sam flipped a coin ten times,how many times wouldyou expect him to get heads?No he didn’t!Experimental probabilitycan be different from theoretical probability.Even though it is unlikely thatSam would only get heads once,it is still possible.Right!You would expect him to get heads 5 times, because the theoretical probabilityof getting heads is 1/2and 5/10 = 1/2
118/25 or 32% Let’s see if you can answer some probability questions… We surveyed our class to find out about ice cream preferences.12 preferred vanilla8 preferred chocolate5 didn’t like ice cream at all.Each student writes his/hername on a slip of paper andputs it in a bag.What are the chances of drawing the name of a student who prefers chocolate ice cream?8/25 or 32%