Answer:
We want to calculate this probability:
And we can use the total probability rule and we have this:
The probability that a woman selected at random has had cancer or smokes, or both is 0.21
Step-by-step explanation:
For this case we define the following events
B= the women selected had breast cancer
S= the women selected is a smoker
= the women selected is a smoker and had breat cancer
And for this case we have the following probabilities given:
And we want to calculate this probability:
And we can use the total probability rule and we have this:
The probability that a woman selected at random has had cancer or smokes, or both is 0.21