Question

Using the letters in the state ARKANSAS. Find the probability of each event. a. picking an S and then an A without replacement.

Answer 1

To find the probability of picking an S and then an A without replacement from the letters in the word ARKANSAS, multiply the probabilities of each event together: (1/8) * (1/3) = 1/24.

Step-by-step explanation:

To find the probability of picking an S and then an A without replacement from the letters in the word ARKANSAS, we need to calculate the probability of each event separately and then multiply them together.

1. First, there is only 1 S in the word ARKANSAS, so the probability of picking an S is 1/8.
2. After picking the S, there are 6 letters left, including 2 A's. So the probability of picking an A after picking an S is 2/6, or simplified, 1/3.
3. To find the probability of both events happening, we multiply the probabilities together: (1/8) * (1/3) = 1/24.

Therefore, the probability of picking an S and then an A without replacement from the letters in the word ARKANSAS is 1/24.