\(P_{00}\\=P(\text {When samit returns home after jog there are no pair of shoes at front door given that there were no pair of shoes when he left for jogging})\\=P(\text{He leaves his house from back door and returns from back door})\\+P(\text{He leaves his house from front door and returns from front door})\\+P(\text{He leaves his house from front door and returns from bank door})\\=P(\text{He leaves his house from back door})\times P(\text{He returns from back door})\\+P(\text{He leaves his house from front door})\times P(\text{He returns from front door})\\+P(\text{He leaves his house from front door})\times P(\text{He returns from bank door})\\=0.5\times0.5+0.5\times0.5+0.5\times0.5\\=0.75\)
Last edited by a moderator: Aug 22, 2016