P(XP) is supposed to be 0.45, but you have used 0.4 instead while applying Baye's rule.

Hey Shahab, Thank you for reaching out and letting us know. The second number in the numerator is indeed mistaken and should instead be 0.45. The lecturer does say '0.45' and the final answer - 0.375 - is obtained when using the number 0.45 in the calculation, so I hope this mistake hasn't caused a lot of confusion. Kind regards, 365 Hristina