I have this question on an ungraded practice test.

The possible outcomes of an experiment are 1,2,3,4,5,6,7,8, and assume that all of the outcomes are equally likely. Let A be the event that the result is odd, and let B be the event that the result is less than 4. Calculate P(A and B). Round your answer to 3 decimal places.

Here's how I went about solving it:

P(A) = 4/8 = 1/2 P(B) = 3/8

P(A and B) = P(A)*P(B) = (1/2) * (3/8) = 3/16

However the correct answer is 0.25. Why is my answer wrong?

Thank you so much!

I have this question on an ungraded practice test.

The possible outcomes of an experiment are 1,2,3,4,5,6,7,8, and assume that all of the outcomes are equally likely. Let A be the event that the result is odd, and let B be the event that the result is less than 4. Calculate P(A and B). Round your answer to 3 decimal places.

Here's how I went about solving it:

P(A) = 4/8 = 1/2 P(B) = 3/8

P(A and B) = P(A)*P(B) = (1/2) * (3/8) = 3/16

However the correct answer is 0.25. Why is my answer wrong?