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?

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.

Offices in Delhi are open for 5 days in a week (Monday to Friday). Two employees of an office remain absent for one day in the same week. Find the probability that they remain absent on: i] the same day ii] consecutive days iii] different days.

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 organization selected 2400 families at random and surveyed them to determine a relationship between level and the number of vehicles in a family. The information gathered is listed in the table below Suppose a family is chosen. Find the probability that the family chosen is : (i) earning Rs 10000-13000 per month and owing exactly 2 vehicles. (ii) earning Rs 16000 ro more per month and owning exactly 2 vehicle. (iii) earning less than Rs 7000 per month and odes not own andy vehicle. (iv) earning Rs 13000-16000 per month and owning more than 2 vehicles. (v) owning not more than 1 vehicles.

A study was conducted to find out the concentration of sulphur dioxide in the air in parts per million (ppm) of a certain city. The data obtained for 30 days is as follows : You were asked to prepare a frequency distribution table, regarding the concentration of sulphur dioxide in the air in parts per million (ppm) of a certain city for 30 days . Using this table, find the probability of the concentration of sulphur dioxide in the interval 0.12-0.16 on any of these days.

Eleven bags of wheat flour, each marked 5 kg actually contained the following weights of flour (in kg) : " 4.97 5.05 5.08 5.03 5.00 5.06 5.08 4.98 5.04 5.07 5.00" Find the probability that any of these bags chosen at random contains more than 5 kg of flour.

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.

A bag has cards numbered from 1 to 49. if a card is drawn at random from the bag after mixing them throughly, find the probability that the number on the card is (i) odd (ii) a multipel of 5 (iii) a perfect square (iv) an even prime number.