Answer:
Therefore, the probability of getting a state that starts with the letter A and then rolling a number less than 3 is approximately 0.0267.
Explanation:
To find the probability of getting a state that starts with the letter A and then rolling a number less than 3, we need to determine the number of favorable outcomes and the total number of possible outcomes.
Step 1: Determine the number of states that start with the letter A
Out of the 50 states, we need to determine how many states start with the letter A. Let's list them:
Alabama
Alaska
Arizona
Arkansas
So, there are 4 states that start with the letter A.
Step 2: Determine the number of numbers less than 3 on a die roll
A standard die has 6 faces numbered from 1 to 6. We need to determine how many numbers are less than 3.
The numbers less than 3 on a die roll are 1 and 2.
Step 3: Determine the total number of possible outcomes
We are choosing a state at random from the 50 states and rolling a die. To find the total number of possible outcomes, we need to multiply the number of states by the number of possible outcomes on a die roll.
Total number of possible outcomes = 50 (number of states) * 6 (number of possible outcomes on a die roll) = 300
Step 4: Determine the number of favorable outcomes
To find the number of favorable outcomes, we need to multiply the number of states that start with the letter A by the number of numbers less than 3 on a die roll.
Number of favorable outcomes = 4 (number of states that start with the letter A) * 2 (number of numbers less than 3 on a die roll) = 8
Step 5: Determine the probability
Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes.
Probability = Number of favorable outcomes / Total number of possible outcomes = 8 / 300 = 0.0267 (rounded to four decimal places)
I hope you helped.