Probability Intro

Coin toss u Toss two coins 10 times keeping track of the results (head/tails) u Now toss 3 coins 10 times u Make a chart of all the possible ways for the three coins to land. u How many of these outcomes have two heads? – What is the probability of getting two head?

Coin toss u How many of these outcomes have two heads? – Use your results to find the probability of a family having two girls and a boy for children. – What is the probability of the family NOT having two girls and a boy?

Dice u Roll a pair of dice and record their sum. u Repeat 12 times. u Make a table of all the possible sums. u Find the probability of rolling the sum of 8. u What are the sums that are most likely? u What are the sums that are least likely?

Dice – continued u What are the odds of rolling a 7? Odds against a 7? u Now consider the product of the roll instead of the sum – make a new distribution chart, which product is most likely? Which is least likely?

Blocks u Part A (with replacement) – Grab a block out of the bag record its color then put it back. – Repeat 10 times. – Without looking guess how many blocks and which colors are in the bag. u Part B (without replacement) – Now grab a block and record it …don’t put it back. – Repeat 10 times. – Revise your guess about the contents of the bag from part A

Blocks (continued) u Use your information about the blocks to determine the following probabilities: – What is the probability of drawing a blue block? – What is the probability of drawing a blue block and then a red – does it matter if you replace the first block you draw? If so how? If not, why not?

A deck of cards u Pick a card from the deck – What is the probability the card is red? – What is the probability the card is a heart? – What is the probability the card is a face card? – What is the probability the card is a queen? – What is the probability the card is the queen of hearts? u What is the probability the card is a queen or a heart?

Poker Hands u Recall we calculated how many different five card poker hands can be dealt from a standard deck? Now find: – What is the probability of being dealt a Royal Flush (A, K, Q, J and 10 all of the same suit)? – What is the probability of being dealt a pair of Aces? – What is the probability of being dealt a full house (two of a kind and three of a kind)? – How do these probabilities change the way you might play a hand of poker? Explain.