can you please elaborate the recurrence relation more ?
Coins Problem in DP
@imsaurabh,
Link to my submission.
dp[i][j]
=probability of j heads out of first i coins considered.
dp[i][j] = ((dp[i - 1][j - 1] * p[i]) + (dp[i - 1][j] * (1.0 - p[i])));
dp[i-1][j-1]
= probability of j-1 heads out of i-1 coins considered, i.e the case if the i_{th} coin itself gave head(therefore *p[i]
i.e probability if i_{th} coin giving head)
dp[i-1][j]
= probability of j heads out of i-1 coins considered, i.e the case when I$i_{th}$ coin gave tail(therefore *(1-p[i])
i.e probability of i_{th} coin giving tail)
when j=0 then how it will excute for dp[i-1][j-1] can you please explain.