Answer
P(died from cancer or current cigar smoker) $=\frac{8,739}{137,243}\approx0.064$
Work Step by Step
The sample space: 137,243 U.S. men. So, N(S) = 137,243
There were a total of $141+7,725=7,866$ U.S. men who were a current cigar smoker. So, N(current cigar smoker) = 7,866
There were a total of $782+91+141=1,014$ U.S. men who died from cancer. So, N(died from cancer) = 1,014
According to the cell in the third row, first column: N(died from cancer and current cigar smoker) = 141
P(died from cancer or current cigar smoker) = P(current cigar smoker) + P(died from cancer) - P(died from cancer and current cigar smoker) =
$\frac{N(\text{current cigar smoker})}{N(S)}+\frac{N(\text{died from cancer})}{N(S)}-\frac{N(\text{died from cancer and current cigar smoker})}{N(S)}=\frac{7,866}{137,243}+\frac{1,014}{137,243}-\frac{141}{137,243}=\frac{8,739}{137,243}\approx0.064.$
