Unproject Probability By Tim Mazur 8-41 Nigel Marshall 8-16

Topics that will be discussed Total Possible Outcome / Favorable Outcome (T.P.O., F. O.) The probability tree Coins Dice Spinners

Total Possible Outcome / Favorable Outcome (T.P.O., F. O.)

The probability tree

Coins

Dice

Spinners

Total Possible Outcome Your total possible outcome is exactly what is says. It is all the possible outcomes for an event (e.g. coin flip, dice roll etc.) A short way to say total possible outcome is T.P.O. Here are some examples of total possible outcomes or T.P.O’s Coin flip – Heads or Tails – 2 T.P.O’s Dice Roll – 1,2,3,4,5,6 – 6 T.P.O’s Spinner w/ 4 colours – Red,Green,Blue,Yellow – 4 T.P.O’s

Your total possible outcome is exactly what is says. It is all the possible outcomes for an event (e.g. coin flip, dice roll etc.) A short way to say total possible outcome is T.P.O. Here are some examples of total possible outcomes or T.P.O’s

Coin flip – Heads or Tails – 2 T.P.O’s

Dice Roll – 1,2,3,4,5,6 – 6 T.P.O’s

Spinner w/ 4 colours – Red,Green,Blue,Yellow – 4 T.P.O’s

Favorable Outcome A favorable outcome is the outcome that you want to happen during an event (e.g. Say you want to get a heads in a coin flip) A short way of saying favorable outcome is Fav.O or F.O. To figure out the chance you have of getting your favorable outcome you simply multiply your favorable outcome by you total possible outcomes. Here are some examples: Coin flip – you want heads – T.P.O’s, 2 – 1x2=2 – 1 in 2 chance of getting your F.O. Dice Roll – you want 2 – T.P.O’s, 6 – 1x6=6 – 1 in 6 chance of getting your F.O.

A favorable outcome is the outcome that you want to happen during an event (e.g. Say you want to get a heads in a coin flip) A short way of saying favorable outcome is Fav.O or F.O. To figure out the chance you have of getting your favorable outcome you simply multiply your favorable outcome by you total possible outcomes. Here are some examples:

Coin flip – you want heads – T.P.O’s, 2 – 1x2=2 – 1 in 2 chance of getting your F.O.

Dice Roll – you want 2 – T.P.O’s, 6 – 1x6=6 – 1 in 6 chance of getting your F.O.

The Probability Tree The “ Probability Tree ” is a chart that shows the favorable outcome and the total possible outcomes . It can be used for anything. Things such as coins , dice , spinners , and more. An easy way of finding out how many total possible outcomes there are for something, you just multiply the favorable outcome (F.O.) by the total possible outcome (T.P.O.)

The “ Probability Tree ” is a chart that shows the favorable outcome and the total possible outcomes . It can be used for anything. Things such as coins , dice , spinners , and more. An easy way of finding out how many total possible outcomes there are for something, you just multiply the favorable outcome (F.O.) by the total possible outcome (T.P.O.)

Coins A single coin flip can give you either a heads or a tails . That is two total possible outcomes . (T.P.O) Lets say you want to flip a head. The head would be your Favorable Outcome . (F.O.) So to find out what chance you have of flipping a head, you would multiply your favorable outcome (heads) over your possible outcomes . 1x2=2. You have a 1 in 2 chance of flipping a head. As a percent that would be 50% or as a fraction , 50/100 , and as a decimal , 0.50

A single coin flip can give you either a heads or a tails . That is two total possible outcomes . (T.P.O) Lets say you want to flip a head. The head would be your Favorable Outcome . (F.O.) So to find out what chance you have of flipping a head, you would multiply your favorable outcome (heads) over your possible outcomes . 1x2=2. You have a 1 in 2 chance of flipping a head. As a percent that would be 50% or as a fraction , 50/100 , and as a decimal , 0.50

Dice There are many different sided dice but for this example we will use the six sided die . With the six sided die you have six total possible outcomes . (T.P.O.) Lets say you want to roll a two. That is your favorable outcome (F.O.) To find out what chance you have of getting your favorable outcome (in this case, a 2) you would multiply your F.O by your T.P.O. 1x6=6 . You have a 1 in 6 chance of rolling a two.

There are many different sided dice but for this example we will use the six sided die . With the six sided die you have six total possible outcomes . (T.P.O.) Lets say you want to roll a two. That is your favorable outcome (F.O.) To find out what chance you have of getting your favorable outcome (in this case, a 2) you would multiply your F.O by your T.P.O. 1x6=6 . You have a 1 in 6 chance of rolling a two.

Spinner Spinners can involve numbers, colours, letters or anything you can think of. For this we will use four colours. (Red, Green, Blue, Yellow) There are four total possible outcomes . Lets say you want to spin and get the red. That if your favorable outcome . Once again to figure out what chance you have of getting your F.O. you multiply your F.O. by your T.P.O. 1x4=4. You have a 1 in 4 chance of getting a red.

Spinners can involve numbers, colours, letters or anything you can think of. For this we will use four colours. (Red, Green, Blue, Yellow) There are four total possible outcomes . Lets say you want to spin and get the red. That if your favorable outcome . Once again to figure out what chance you have of getting your F.O. you multiply your F.O. by your T.P.O. 1x4=4. You have a 1 in 4 chance of getting a red.