An instructor has a question bank consisting of 300 easy True / False questions. 200 difficult True / False questions. 500 easy multiple choice questions and 400 difficult multiple choice questions. If a question is selected at random from the

Explanation

E : Easy question

F: Multiple choice question

Given `300-E(T | F)`

500 - E multiple

200 - D (T|F) 400 - D (multiple)

`P(E)=frac{800}{1400}=frac{8}{14}`

`P(F)=frac{900}{1400}=frac{9}{14}, P(E cap F)=frac{500}{1400}=frac{5}{14}`

`P(E mid F)=frac{P(E cap F)}{P(F)}=frac{frac{5}{14}}{frac{9}{14}}=frac{5}{9}`