Question

the names of all of the states in the united states are placed in a bag. one name is drawn from the bag. what is the theoretical probability of each event? p(florida) a. $\frac{1}{25}$ c. $\frac{1}{50}$ b. $\frac{1}{48}$ d. 0 please select the best answer from the choices provided $\bigcirc$ a $\bigcirc$ b $\bigcirc$ c

Explanation:

Step1: Recall the formula for theoretical probability

The formula for theoretical probability of an event \( E \) is \( P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \).

Step2: Determine the number of favorable and total outcomes

• The number of favorable outcomes for drawing "Florida" is 1 (since there is only one state named Florida).
• The total number of states in the United States is 50. So the total number of possible outcomes is 50.

Step3: Calculate the probability

Using the formula, \( P(\text{Florida})=\frac{1}{50} \).

Answer:

C. \(\frac{1}{50}\)