1. A two patients from the same hospital, a man and a woman have been diagnosed with stomach cancer. Specialist doctors predict that they will live at least one more year, and the probability is as follows: for men 30% and for women 40%. Assuming the events are independent, calculate that:
   1. Both are alive
   2. The man is not alive
   3. The woman is not alive
   4. Neither the woman nor the man are alive
   5. At least one is alive
   6. Both are not alive