Final answer:
Bob's beneficiaries would receive $30,000, as the double indemnity AD&D rider does not apply to death by cancer, only accidental death.
Step-by-step explanation:
If Bob has a $30,000 life policy with a double indemnity AD&D (Accidental Death and Dismemberment) rider and he dies of cancer after 6 months, his beneficiaries would receive $30,000. The double indemnity AD&D rider only applies in cases of accidental death, not death due to illness or natural causes such as cancer. Therefore, the additional payment associated with the rider would not be applicable in this case.
If Bob has a $30,000 life policy with a double indemnity Accidental Death and Dismemberment (AD&D) rider, his beneficiaries would receive $60,000 if he dies of cancer after 6 months. The double indemnity AD&D rider doubles the coverage amount to $60,000 in the event of accidental death, which includes death caused by certain accidents or injuries. However, in this case, Bob's cause of death is cancer, which is not covered under the double indemnity AD&D rider. Therefore, his beneficiaries would receive the original policy amount of $30,000.