There are eight girls among whom two are sisters, all of them are so to sit on a round table. Find the probability that the two sisters do not sit together.
Complete the following statements :
(i) Probability of an event E + Probability of the event 'not E' = _____________ .
(ii) The probability of an event that cannot happen is________ Such an event is called __________ .
(iii) The probability of an event that is certain to happen is ______. Such an event is called __________ .
(iv) The sum of the probabilities of all the elementary events of an experiment is __________ .
(v) The probability of an event is greater than or equal to ________ and less than or equal to _________ .
Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day. What is the probability that both will visit the shop on (i) the same day? (ii) consecutive days? (iii) different days?
An urn contains 6 white and 4 black balls. A fair die is rolled and that number of balls we chosen from the urn. Find the probability that the balls selected are white.
An experiment consists of tossing a com and then throwing it second tune if a head occurs. If a tail occurs on the first toss, then a die is rolled once. Find the sample space.
In a bag, there are 6 balls of which 3 are white and 3 are black. They are drawn successively (i) without replacement. (ii) with replacement. What is the chance that the colors are alternate? It has been supposed that the number of balls drawn remains the same, i.e., six even with replacement.
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.