Answer:
60.6%
0.0003%
Step-by-step explanation:
Because they are independent events, the final probability will be the multiplication of each event, that is, 0.92 multiplied 6 times, in other words:
0.92 ^ 6 = 0.606
that is to say that the probability that the 6 men survive is 60.6%
Now, to calculate that at least one survives, it means that 5 died, the probability that one dies is 1 - 0.92 = 0.08, and how they are 5 would be:
0.08 ^ 5 = 0.0000032768
Then multiplied by 0.92, which is that one survives, we are left with:
0.0000032768 * 0.92 = 0.00000301465
Which means that the probability of one surviving is 0.0003%, it is a very low probability because the probability of surviving is really high.
