Welcome to Introduction to Bioinformatics Monday, 2 May 2005 Probability Anything you like How to read text files

Go from:

How to read text files To:

Problem 9 Probability of choosing four correct numbers numbers

Problem 9 Probability of choosing four correct numbers numbers 10 winners numbers per card (50¢ each)

Problem 9 Probability of choosing four correct numbers numbers 10 winners 8 numbers per card (50¢ each) winners  $1,000,000 $ $ $ $ $ $ $ $

Problem 9 Probability of choosing four correct numbers numbers 10 winners 8 numbers per card (50¢ each) winners  $1,000,000 Probability?

Problem 9 Probability of choosing four correct numbers numbers 10 winners 8 numbers per card (50¢ each) winners  $1,000,000 Probability? 5

Problem 9 Probability of choosing four correct numbers numbers 10 winners 8 numbers per card (50¢ each) winners  $1,000,000 Probability? 5 3

Problem 9 Probability of choosing four correct numbers numbers 10 winners 8 numbers per card (50¢ each) winners  $1,000,000 Probability? 5 3 3

Problem 9 Probability of choosing four correct numbers numbers 10 winners 8 numbers per card (50¢ each) 4 winners  $1,000,000 Probability?

Problem 9 Probability of choosing four correct numbers How many possible cards? 10 How many winning cards? 6 Probability? 6 / 10 Probability The art of creative counting

Problem 9 Probability of choosing four correct numbers Probability The art of creative counting But how to count when there’s too many to count?

Problem 9 Probability of choosing four correct numbers How many total? How many possible cards of 3 from 5 numbers? x5 x4 x3 5!

Problem 9 Probability of choosing four correct numbers How many cards? How many possible cards of 3 from 5 numbers? 5! · 3! (CHOOSE 5 3)

Problem 9 Probability of choosing four correct numbers How many possible cards? 10 How many winning cards? 6 Probability? 6 / 10 Probability The art of creative counting (CHOOSE 5 3)

Problem 9 Probability of choosing four correct numbers How many possible cards? How many winning cards? 6 Probability? 6 / 10 Probability The art of creative counting (CHOOSE 5 3) (CHOOSE 3 2)

Problem 9 Probability of choosing four correct numbers How many possible cards? How many winning cards? 6 Probability? 6 / 10 Probability The art of creative counting (CHOOSE 5 3) (CHOOSE 3 2) *(CHOOSE 2 1)

Problem 9 Probability of choosing four correct numbers numbers 10 winners 8 numbers per card (50¢ each) winners  $1,000,000 Probability?

Problem 9 Probability of choosing four correct numbers 1000 numbers 10 winners 8 numbers per card (50¢ each) winners  $1,000,000 Probability? Number of winning cards Number of total cards (CHOOSE 10 4) (CHOOSE ) (CHOOSE 990 4) Number of winning cards Probability of one winning card *