Answer:
0.33
Explanation:
Let P(S10) be the probability that surviving for 10-years after being diagnosed with a particular cancer
And P(S5) be the probability that surviving for 5-years after being diagnosed with a particular cancer
We have
P(S5)=0.6 and P(S10)=0.2
And we have the conditional probability equation:
where
- P(S10|S5) is the probability that surviving for 10-years after being diagnosed with a particular cancer given that survived for 5-years after being diagnosed with a particular cancer
- P(S5|S10) is the probability that surviving for 5-years after being diagnosed with a particular cancer given that survived for 10-years after being diagnosed with a particular cancer (which is 1 because if you survived 10 years, you already survived 5 years)
Then