1 Create a relative frequency table from the

1) Create a relative frequency table from the following data… 2) List the sample space of a bag of skittles. 3) How many possible outcomes are there if we draw a letter from the alphabet at random? 4) What is a favourable outcome? 5) What is the probability of drawing a red ace out of a deck of cards? 6) What is the probability of rolling a “ 5” or “ 2” on a standard die?

What is “fair”?

Two-step chance probability

Two-step chance probability

How can we show this?

S 1 2 3 4 5 6 . . . 1 2 3 4 5 6

Sample Array… H H T T

Sample Array… H T H {H, H} {T, H} T {H, T} {T, T} P(event) = # of favourable outcomes # of potential outcomes

Sample Array… H T H {H, H} {T, H} T {H, T} {T, T} P(H, H) = 1 4

Dice Outcome Array… 1 2 1 {1, 1} {2, 1} 2 {1, 2} 3 4 5 6

Dice Sum Array… 1 2 3 2 3 3 4 5 6

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TEST EACH SCENARIO 1000 TIMES. Teams Scenario A Results B Results C Result s 6, 7, 8 300 9, 10, 11, 12 200 1 2, 3, 4, 5 2 2, 3, 11, 12 4, 5, 9, 10 6, 7, 8 3 5, 3, 6 4, 2, 7, 12, 10 8, 9, 11 4 3, 8, 10, 11 4, 6, 9 2, 5, 7, 12 500

Dice Sum Array… 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 10 11 12

Calculating Probability Using a Dice Sum Array… 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 10 11 12 P(event) = # of favourable outcomes # of potential outcomes

Calculating Probability Using a Dice Sum Array… 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 10 11 12 P(3) = 2 36

Calculating Probability Using a Dice Sum Array… 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 10 11 12 P(3) = 1 18

Create your own fair game with 4 teams… 1 1 A 6 5 C C C 4 B B 4 5 3 B 2 3 2 6

4 team “fair” game…