The probability of winning one prize in 3 attempts is P = 0.41, so the correct option is A.
How to find the probability?
We know that the probability of winning a prize is 0.45, then the probability of not winning a prize is:
q = 1 - 0.45 = 0.55
Out of 3 attempts, the probability of winning one prize is:
P(1) = (0.45)*(0.55)^2*p
where p is the number of permutations, you can win on the first attempt, second attempt, or third attempt, so there are 3 permutations.
Then the probability is:
P(1) = (0.45)*(0.55)^2*3 = 0.41
So the correct option is A.
If you want to learn more about probability, you can read:
https://brainly.com/question/251701