In the final exams, 40% of the students failed chemistry, 25% failed physics, and 19% failed both chemistry and physics. What is the probability that a randomly selected student failed physics given that he passed chemistry? I have answered the question in the image below, but I would like to know if it is correct. If it is not, please include an explanation of why, as well as the step by step to get the correct answer

I did a similar question for my homework, you can check mine.

Step-by-step explanation:

In an examination 30% of the students failed in Physics, 25% in Mathematics and 12% in both Physics and Mathematics. A student is selected at random. Find the probability that the student has failed in Physics, if it is known that he has failed in Mathematics. (ii) the student has failed at least one of the two subjects (ii) the student has passed at least one of the two subjects (iv) the student has passed in Mathematics if he failed in Physics.

Ans:

let the event of student failed in physics be P

let the event of student failed in maths be M

P(P) = 3/10

P(M)= 1/4

P(P nn M) =3/25

(I)

P(P/M)= (P(P nn M))/(P(M)) = (3/25)/(1/4) = 12/25

(ii)

P(P uu M) = P(P) + P(M) -P(P nn M)

= 3/10 + 1/4 - 3/25 = 43/100 = 0.43

(iii)

P=1 - P(P nn M) = 1 - 12/100 = 88/100 =22/25

(iv)

p-> 30 , m-> 25

P nn M -> 12

P= 18/30 = 3/5

n

step-by-step explanation:

the most boring ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.