If somone commited suicide would his/her life insurance policy still payout?

It depends. Some policies exclude suicide during the policy's first year or so. After that hurdle, if the policyholder had been receiving medical or psychiatric treatment for mental health problems prior to taking out the policy and had not disclosed that fact when applying for the insurance, then the insurance company may well refuse the claim on the basis of the"non disclosure" of a material fact.

If non of the the points above points apply, then the life policy should pay out for a suicide.