Assume you are at a carnival and decide to play one of the games. You spot a tab
ID: 3224974 • Letter: A
Question
Assume you are at a carnival and decide to play one of the games. You spot a table where a person is rolling a 20-sided die, and since you have an understanding of basic probability, you believe that the odds of winning are in your favor. When you get to the table, you find out that all have to do is guess whether the die will be greater than 12. You are assured that the die is fair. Answer the following questions.
What is the sample space?
What does the classical approach to probability say the probability of winning is? Losing?
Explanation / Answer
Sample space S = { 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}
number of elements in S is = n = 20 = Exhaustative cases
Let E is an event and denote the number is greater than 12 when die is thrown
E = { 13,14,15,16,17,18,19,20 }
number of elements in S = m = 8 = Favourable cases
Required probabilty = m/n = 8/20 = 0.4 for winning
Lossing probability = 1 - 0.4 = 0.6