Two customers are visiting a particular shop in the same week (Monday to Saturday). Each person is equally likely to visit the shop on any one day as the other. What is the probability that both will visit the shop on different days?

Suppose you drop a tie at random on the rectangular region shown in the figure. What is the probability that it will land inside the circle with diameter $1 \mathrm{m}$? 

In the accompanying diagram, a fair spinner is placed at the centre $\mathrm{O}$ of the circle. Diameter $\mathrm{A}\mathrm{O}\mathrm{B}$ and radius $\mathrm{O}\mathrm{C}$ divide the circle into three regions labelled $\mathrm{X},\mathrm{}\mathrm{Y}$ and $\mathrm{Z}.$ If $\mathrm{\angle }\mathrm{B}\mathrm{O}\mathrm{C}=45°$. What is the probability that the spinner will land in the region $\mathrm{X}?$

A target shown in the figure consists of three concentric circles of radii $3 \mathrm{cm}, 7 \mathrm{cm}$ and $9 \mathrm{c}\mathrm{m}$ respectively. A dart is thrown and land on the target. What is the probability that the dart will land on the shaded region?

In the figure, points $\mathrm{A}, \mathrm{B}, \mathrm{C}$ and $\mathrm{D}$ are the centres of four circles that each have a radius of length one unit. If a point is selected at random from the interior of square $\mathrm{A}\mathrm{B}\mathrm{C}\mathrm{D}$. What is the probability that the point will be chosen from the shaded region?

In the figure dart board is shown. The length of the larger square is $1.5$ times the length of side of the smaller square. If a dart is thrown and lands on the larger square. What is the probability that it will land in the interior of the smaller square?