Suppose we have three cards identical in form except that both sides of the first card are coloured red, both sides of the second are coloured black, and one side of the third card is coloured red and the other side is coloured black. The three cards are mixed and a card is picked randomly. If the upper side of the chosen card is coloured red, what is the probability that the other side is coloured black.

What is the probability of a randomly chosen 2 digit number being divisible by 3 ?

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

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.