3. Classical Definition of Probability

Try these first

1. 1.

   What is the probability of rolling a 4 on a standard die?

   Hint

   Consider the total number of outcomes.

2. 2.

   If there are 10 colored marbles in a bag and 4 are blue, what is the probability of picking a blue one?

   Hint

   Use the formula of favorable outcomes over total outcomes.

3. 3.

   What is the formula for calculating probability in the Classical definition?

   • P(E) = n/m
   • P(E) = m/n
   • P(E) = n

   Hint

   Remember the arrangement of favorable (m) over total (n).

4. 4.

   True or False: The Classical Definition can be applied to infinite sample spaces.

   • True
   • False

   Hint

   Reflect on the conditions needed for this definition to hold.

5. 5.

   You have a bowl of 20 marbles: 8 red, 7 blue, and 5 green. If you select one marble at random, what is the probability it will be blue or green?

   Hint

   Add blue and green to find favorable outcomes.

6. 6.

   A class has 25 students, where 22 study math and 18 study science. If a student is chosen at random, what is the probability that the student studies only math?

   Hint

   Use the total number of students to find this ratio.