The probability that a bulb produced by a factory will fuse after 150 days of use is 0.05. Find the probability that out of 5 such bulbs (i) none (ii) not more than one (iii) more than one (iv) at least one will fuse after 150 days of use.

The probability that a bulb produced by a factory will fuse after 150 days of use is 0.05. Find the probability that out of 5 such bulbs. (i) none (ii) not more than one (iii) more than fuse after 150 days of use.

A die is thrown. Find the probability that (i) A prime number will appear. (ii) A number greater than or equal to 3 will appear. (iii) A number more than 6 will appear.

There are 5% defective items in a large bulk of items. What is the probability that a sample of 10 items will include not more than one defective item?

Three boys and two girls stand in a queue. The probability, that the number of boys ahead is at least one more than the number of girls ahead of her, is

One card is drawn from a pack of 52 cards after shuffling. Find the probability of drawing a (i) face and (ii) red face card (iii) jack of hearts (iv) diamond (v) red card.

An urn contains 25 balls of which 10 balls bear a mark 'X' and the remaining 15 bear a mark 'Y'. A ball is drawn at random from the urn, its mark is noted down and it is replaced. If 6 balls are drawn in this way, find the probability that (i) all will bear 'X' mark. (ii) not more than 2 will bear 'Y' mark. (iii) at least one ball will bear 'Y' mark.  (iv) the number of balls with 'X' mark and 'Y' mark will be equal.

One card is drawn fram a well shuffled deck of 52 cards. Find the probability of getting: (i) a king of red colour (ii) a face card (iii) a red face card (iv) the jack of hearts (v) a spade (vi) the queen of diamonds.

How many times must a man toss a fair coin so that the probability of having at least one head is more than 90%?

Two numbers are chosen from [1,2,3,4,5,6] one after another without replacement . Find the probability that one of the smaller value of two is less than 4 :