A car is parked among N cars standing in a row, but not at either end. On his return, the owner finds that exactly 'r' of the N places are still occupied. The probability that the places neighboring his car are empty is
A die is numbered in such a way that its faces show the numbers 1, 2, 2, 3, 3, 6. It is thrown two times and the total score in two throws is noted. Complete the following table which gives a few values of the total score on the two throws:What is the probability that the total score is(i) even? (ii) 6? (iii) at least 6?
There are four men and six women on the city council. If one council member is selected for a committee at random how likely is it that it is a woman?
There are three coins. One is a two headed coin (having head on both faces), another is a biased coin that comes up heads 75% of the time and third is an unbiased coin. One of the three coins is chosen at random and tossed, it shows heads, what is the probability that it was the two headed coin?
From the employees of a company, 5 persons are selected to represent them in the managing committee of the company. Particulars of five persons are as follows:S.No. Name Sex Age in years1. Harish M 302. Rohan M 333. Sheetal F 464. Alis F 285. Salim M 41A person is selected at random from this group to act as a spokesperson. What is the probability that the spokesperson will be either male or over 35 years?
The probability that a student is not a swimmer is 51 . Then the probability that out of five students, four are swimmers is (A) 5C4(54)451 (B) (54)451 (C) 5C151(54)4 (D) None of these
One card is drawn from a well shuffled deck of 52 cards. If each outcome is equally likely, calculate the probability that the card will be(i) a diamond (ii) not an ace(iii) a black card (i.e., a club or. a spade) (iv) not a diamond(v) not a black card.
Determine P (E∣F) in : A coin is tossed three times, where (i) E : Head on third toss, F : heads on first two tosses (ii) E : at least two heads, F : at most two heads (iii) E : at most two tails, F : at least one tail