Out of 3n consecutive integers, three are selected at random. Find the probability that their sum is divisible by 3.
A coin is tossed three times. Event A: two heads appear Event B: last should be head Then identify whether events AandB are independent or dependent.
Consider the experiment in which a coin is tossed repeatedly until a head comes up. Describe the sample space.
A rifleman is firing at a distance target and hence has only 10% chance of hitting it. Find the number of rounds; he must fire in order to have more than 50% chance of hitting it at least once.
A bag contains 3 white, 3 black and 2 red balls. One by one, three balls are drawn without replacing them. Find the probability that the third ball is red.
The odds against a certain event are 5 to 2, and the odds in favor of another event independent of the former are 6 to 5. Find the chance that one at least of the events will happen.