Two customers Sumit and Amit 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) different days (iii) consecutive days.

Two customers Priya and Amuthan are visiting a particular shop in the same week (Monday to Saturday). Each is equally likely to visit the shop on any one day as on another day. What is the probability that both will visit the shop on (i) the same day (ii) different days (iii) consecutive days ?

Savita and Hamida are friends . What is the probability that both will have the same birth day ? ( ignoring a leap year )

Assume that each born child is equally likely to be a boy or a girl. If a family has two childeren what is the conditional probability that both gives both are girls given that i. the youngest is a girl ii. Atleast one is a girl

Fifty seeds were selected at random from each of 5 bags of seeds, and were kept under standardised condition favourable to germination. After 20 days, the number of seeds which had germinated in each collection were conducted and as follows What is the probablity of germination of (i) More than 40 seeds in a bag. (ii) 49 seeds in a bag (iii) More than 35 seeds in a bag

Kannan has a fruit shop. He sells 1 dozen banana at a loss of Rs.2 each because it may get rotten next day. What is his loss?

A wound is healing in such a way that t days since Sunday the area of the wound has been decreasing at a rate of - (3)/(t+2)^(2) cm^(2) per day. If on Monday the area of the wound was 2 cm^(2) (i) What was the area of the wound on Sunday ? (ii) What is the anticipated area of the wound on Thursday if it continues to heal at the same rate ?

In a factory Machine-I produces 45% of the output and Machine -II 55% of the outuput. On the average 10% items produced by I and 5% of the items produced by II are deffective. An item is drawn at random from a day's output. (i) find the probability that it is a defective item (ii) if it id defective, what is the probability that it was produced by Machine-II ?

(a) A ball is thrown vertically upward from the ground with an initial velocity of 39.2 m/sec. if the only force consdiered is that attributed to the acceleration due to gravity , find (i) How long will it take for the ball to strike the ground ? (ii) the speed with which will it strike the ground ? and (iii) how high the ball will rise ? (OR) (b) A wound is healing in such a way that t days since Sunday the area of the wound has been decreasing at a rate of -3 /( ( t+2)^(2)) cm^(2) per day. If on Monday the area of the wound was 2 cm^(2) (i) What was the area of the wound on Sunday ? (ii) What is the anticipated area of the wound on Thursday if it continues to heal at the same rate ?

Two identical billiard balls strike a rigid wall with the same speed but at different angles, and get reflected without any change in speed, as shown in Fig. 5.6. What is (i) the direction of the force on the wall due to each ball? (ii) the ratio of the magnitudes of impulses imparted to the balls by the wall ?