Ok. I pretty much have this one solved but the final answer has me stumped. The probability that Luis will pass his statistics test is 0.51. Find the probability that he will fail his statistics test. This is what I have so far. P(fail)=.51; =1-.51. But I am not sure of the final answer. Thank you so much!

Not certain of the finalanswer?

Pr(pass)=.51
Pr(fail)=1-pr(pass)=1-.51
Use your calculator, if you need, to solve that.

yes, but .49 does not seem realistic. I may be doing something wrong. Thanks

0.51 is about half. If he has slightly better than a 50-50 chance of passing the test, doesn't it make sense that he has a slightly less than 50-50 chance of failing it?

Oh wow, yes. you are right. That does make perfect sense! Sometimes I read to much into a problem. Thank you for simplifying for me Mrs. Sue. :)

You're very welcome, Annie.

You're on the right track! To find the probability that Luis will fail his statistics test, you can subtract the probability that he will pass from 1.

Since the probability that Luis will pass his statistics test is 0.51, you have correctly written it as P(pass) = 0.51.

To find the probability that he will fail, you can subtract P(pass) from 1, as you mentioned. So you have:

P(fail) = 1 - P(pass) = 1 - 0.51 = 0.49.

Therefore, the final answer is that the probability of Luis failing his statistics test is 0.49.