Two fair dice are rolled. What is the conditional probability that at least one lands on 6 given that the dice land on different numbers? Solution:
Example 2. Eight rooks are randomly placed on a chessboard(8x8 grid), compute the probability that no row o
Laws of Set Theory 1) (A) = A 2) (A B) = A B (A B) = A B 3) A B = B A AB=BA 4) A (B C) = (A B) C A (B C) = (A B) C 5) A (B C) = (A B) (A C) A (B C) = (A B) (A C) 6) A A = A AA=A 7) A = A AU=A 8) A A = U A A = 9) A U = U A= 10) A (A B) = A A (A B) = A 11)
Probability and Statistics Formula Sheet I. Descriptive Statistics
Sample Mean (List of Data) x x= n Sample Mean (Freq. Distrib.) xf x= f Pop. Variance (List of Data) Depth of Median d ( x )= n +1 2 Midrange Midrange= H +L 2 Range R=H -L
Sample Variance (