Question

Could you please draw a Venn diagram to illustrate the distribution of sweaters in a sports shop that has 70 sweaters, with 42 of them being black or grey, where 13 are just grey, and 9 are both?

Answer 1

To represent the distribution of sweaters in the sports shop, you can use a Venn diagram. Draw a rectangle to represent the sample space, and two overlapping circles to represent black and grey sweaters. Label each circle and fill in the appropriate numbers.

Step-by-step explanation:

To represent the distribution of sweaters in the sports shop, we can use a Venn diagram. First, draw a rectangle to represent the sample space, which in this case is the total number of sweaters in the shop (70). Next, draw two overlapping circles inside the rectangle to represent the categories of sweaters: black sweaters and grey sweaters. Label each circle accordingly. Since 42 sweaters are black or grey, write this number outside the circles.

Now, we know that 13 sweaters are just grey, so write this number in the grey circle only. Lastly, 9 sweaters are both black and grey, so write this number in the overlapping area of the circles. The remaining number of sweaters (70 - 42 = 28) can be written outside the circles to represent sweaters that are neither black nor grey.