10.3.notebook April 27, 2012 1. Find the middle term of (2x 5)8 Theoretical Probability of an Event Probability P(E) = number of successes total possible outcomes Def: Measure of the likelihood that an even will occur. 1. You roll a standard six sided die. Find the prob of rolling a 4. 0 ≤ P(Event) ≤ 1 will not occur certain to occur Find the prob of rolling a prime number. 1 10.3.notebook April 27, 2012 Using Combinations or Permutations 3. 7 musicians are scheduled to perform, with different last names. 2. There are 14 seniors, 10 juniors, and 6 freshmen in a PE class. What is the prob of randomly selecting a junior? a) What is the prob that the musicians perform in alpha order by their last names? b) Two of the musicians are female. Find the prob that the first 2 performers are female. Complement of an event....Prob of the event not happening....P(E) Find the prob of not selecting a junior. Geometric Probability...found by calculating a ratio of two lengths, areas,or volumes. Experimental Probability (Empirical) Determined by collecting data from an experiment 5. Given the dart board below, the radii of the circles are in the ratio 1:2:3. Find the prob of hitting the inner circle. 4. The probability of flipping a coin and getting heads is 1/2. Flip a coin 20 times and find the prob of getting heads based on your experiment. 24 inches 24 inches 2 10.3.notebook April 27, 2012 Conditional Probability...find the prob of an event given that an another event must occur. 6. Find the prob of selecting a point inside the triangle formed by y=x, y=3 and yaxis. 7. Find the prob of selecting a queen given that it is a heart. 8. There are 200 students registered at college. 120 Females (80 PT, 40 FT) and 80 Males (60 PT, 20 FT). Find the prob of selecting a female student given FT. Find the prob of selecting a FT student given female. Journal: How do you find the simple probability of an event? 3
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