You are given three coins: one has heads on both faces, the second has tails on both faces, and the third has a head on one face and a tail on the other. You choose a coin at random and toss it, and it comes up heads. The probability that the other face is tails is..........
Correct Answer is: 1/3
Ram and Ramesh appeared in an interview for two vacancies in the same department. The probability of Ram’s selection is 1/6 and that of Ramesh is 1/8. What is the probability that only one of them will be selected?
Correct Answer is: 1/4
Probability that only one will be selected = p(Ram) X p(not Ramesh) + p(Ramesh) X p(not Ram)
= (1/6) * (7/8) + (1/8) * (5/6) = 12/48 = 1/4
Two packs of cards are thoroughly mixed and shuffled and two cards are drawn at random, one after the other. What is the probability that both of them are Jacks?
Correct Answer is: 7/1339
When three coins are tossed together the probability that all coins have the same face up is.......
Correct Answer is: 1/8
There are 6 different letters and 6 correspondingly addressed envelopes. If the letters are randomly put in the envelopes, what is the probability that exactly 5 letters go into the correctly addressed-envelopes?
Correct Answer is: Zero
If 5 letters go to right address, then 6th one will automatically go to the right address. Hence there is no way that exect 5 letters reach at the right address