Which of the following compound cannot be prepared by Williamson's synthesis?
P and Q are considering to apply for a job. The probability that P applies for the job is $$\frac{1}{4}$$. The probability that $$\mathrm{P}$$ applies for the job given that $$\mathrm{Q}$$ applies for the job is $$\frac{1}{2}$$, and the probability that Q applies for the job given that P applies for the job is $$\frac{1}{3}$$. Then the probability that $$\mathrm{P}$$ does not apply for the job given that $$\mathrm{Q}$$ does not apply for the job is
$$ \text { The value of } \frac{i^{1004}+i^{1006}+i^{1008}+i^{1010}+i^{1012}}{i^{510}+i^{508}+i^{506}+i^{504}+i^{502}} \text { is } $$
There are some baskets. The chances of picking a loaded basket and choosing a red coloured one is 0.2 . For every 100 tries to pick one basket, 60 times a basket is either loaded or red in colour. What is the probability of choosing an empty basket plus choosing not a red coloured one.