 Hi and how are you all today? My name is Priyanka. Let us discuss this question. It says a company has two plants to manufacture bicycle the first plant manufactures 60% of the bicycle and the second plant manufactures 40% out of that 80% of the bicycles are rated of standard quality and the first plant 90% of standard quality at the second of Standard quality at the second plant a bicycle is picked up at random and found to be Standard quality find the probability that it comes from the second plant So after reading this question we can see that this question is based on Base theorem, right? So here first of all let e Be the product One right to be the product that is the bicycle from plant two So we are given probability that It is being manufactured in plant one as 60% and probability of F is given to us as 40% further Let s represents the product of standard Quality for this we are given that the product is of standard quality and is from plant one is 80% and the product is of standard quality from the second plant is of 90 percent applying base theorem We have to find out that the bicycle comes out From the second plant that is F and it is of standard quality this we can find out by line this from the probability of F into probability of s of F divided by probability of e into probability of s upon e plus probability of F into probability of S if now we have all these values found out above we can just substitute in the values we have probability of F as 40 upon 100 into 90 upon 100 divided by 60 upon 100 into 80 upon 100 plus 40 upon 100 into 90 upon 100 Further on simplifying it. We have it as that on further simplifying. We have it as 36 upon 100 divided by 48 upon 100 plus 36 upon 100 which can be further simplified and written as 36 upon 80 4 and We have it as The answer on their division comes out to be 0.43 approximately Right, so this is the required answer to the session. Hope you understood it Well, I enjoyed it too to remember your base theorem and apply it carefully. Have a nice day ahead