1.2 Theoretical Probabilities. Are all outcomes equally likely when rolling dice?  One dice?  What about the sum of two dice?

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Presentation transcript:

1.2 Theoretical Probabilities

Are all outcomes equally likely when rolling dice?  One dice?  What about the sum of two dice?

Theoretical Probability

Rolling Two Die

Theoretical Vs. Experimental  Java Applet

Rolling Two Die

Example  Fiona has two shirts and three pairs of pants that she can wear to her co-op placement.  Suppose Richards randomly picks a shirt and a pair of pants. Identify the sample space.  Fiona does not like to wear blue and green together, nor does she like orange and red together. What is the probability that she will pick a shirt and pants combo that she does not like?  Fiona wants to decrease the probability of drawing a combination a combo she does not like. If Fiona buys another pairs or pants what color should she choose?

Complement

Battleships  Battleship is a game in which two opponents use a co-ordinate grid to try and guess the location of each other’s ship.  Suppose a location is chosen at random, what is the probability of hitting a ship on first guess?  What is the probability of a miss on the first guess?

Odds

Hockey  A hockey analyst gives the Canadian women's hockey team a 75% probability of winning the gold medal in the next winter Olympics. Based on this prediction, what are the odds in favour of Canada winning Olympics gold?  A local sports journalist estimates that the high school boys’ soccer team has a 40% probability of going to the OFSAA championship tournament. What are the odds against the boys making OFSAA?

Assignment  Pg 24 #’s 1-10,12