Question

George and Lea each toss a tetrahedral die with faces numbered 1 through 4, and then multiply the two resulting numbers. If the product is less than 9, George wins; otherwise, Lea wins. What is the probability that Lea will win? Express your answer as a common fraction.

Answer 1

I think the total number of combinations of 3 from 6 = 6C3 = 20

All possible combinations of 3 which have a product divisible by 3 must contain either a 3 or a 6.

So the number not divisible must be 3 combinations from the number 1, 2, 4, and 5.= which is 4

So the required probability is 20-4 ? 20 = 16/20 = 0.8 Answer

Hope this help you! :)