Notes 2/18 Sean, Kevin x - 0 sequence length 5 [Here is a tree diagram where all possibilites are drawn out.] There are 13 possibilities How many ways are there to get from point A to point B on a 6x4 grid, stoping by point X? You first split it up into two part. You solve both parts then multiply them together. Eric has 12 children and wants to chose 4 to go to the basketball game with him. How many combinations of children are there? (12) 12!/4!3! ( 4) or Toss 5 coins, whats the probability that you will get <=3 heads? #favorable/#total ?/2(2)(2)(2)(2) Step 1: # of ways to get <= 3 heads 4 cases Step 2: 0 heads: 1 : TTTTT 1 heads: 5 : HTTTT 2 heads: 10 : HHTTT 3 heads: 10 : HHHTT Step 3: add 1,5,10,10 and get 26 Step 4: 26/2(2)(2)(2)(2) or 26/32 = 13/16 Toss 2 dice, chances that sum is greater than 7 total# = 6*6 = 36 P[Sub >7] = favorable/total 123456 1 2 x = 15/36 = 5/12 3 xx 4 xxx 5 xxxx 6 xxxxx