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COURSE 3 LESSON 6-9 Probability Express as a fraction the probability that the outcome for rolling two number cubes has a sum less than 7. Make a table to find the sample space for rolling two number cubes. 1 2 3 4 5 6 1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) 2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) 3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) 4 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) 5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) 6 (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) Out of the 36 possible outcomes, the 15 outcomes shown in red have a sum less than 7. 15 5 So, P(sum less than 7) = 36 , or 12 . 6-9 COURSE 3 LESSON 6-9 Probability What is the probability (as a fraction) of there being at least 1 male kitten in a litter of 4 kittens? Express the probability as a fraction. 6-9 COURSE 3 LESSON 6-9 Probability (continued) P(at least one male) = number of outcomes with at least one male kitten total number of possible outcomes with four kittens 15 = 16 Substitute. 6-9 COURSE 3 LESSON 6-9 Probability 1. A 6-sided number cube has the numbers 1, 2, 3, 4, 5, and 6 on its faces. What is the probability of rolling a number less than 5? Write your answer as a fraction and as a percent. 2 2 ; 66 % 3 3 2. Find the sample space for tossing two coins. Then find P(0 heads). HH, HT, TH, TT; 25% 6-9