(a) A man shared his property among his children as follows: Child's name Ann Afia Kojo Nuno Akom Percentage share 5 15 10 45 25 Represent the information o...

Answer Details

(a) To represent the given information on a pie chart, we need to find the angles of the sectors corresponding to each child's percentage share.

Let the total value of the property be 100 units. Then, Ann's share is 5 units, Afia's share is 15 units, Kojo's share is 10 units, Nuno's share is 45 units, and Akom's share is 25 units.

To find the angle of the sector corresponding to each share, we use the formula:

Angle of sector = (Percentage share/100) x 360

Using this formula, we get:

Angle of Ann's sector = (5/100) x 360 = 18 degrees

Angle of Afia's sector = (15/100) x 360 = 54 degrees

Angle of Kojo's sector = (10/100) x 360 = 36 degrees

Angle of Nuno's sector = (45/100) x 360 = 162 degrees

Angle of Akom's sector = (25/100) x 360 = 90 degrees

We can now draw a circle representing the total value of the property, and divide it into sectors of the calculated angles for each child. Label each sector with the corresponding child's name.

(b) The probability of taking two red beads, one after the other, from the box can be calculated as follows:

The probability of taking a red bead on the first draw is 5/12 (since there are 5 red beads out of 12 beads in total).

After taking out one red bead, there are now 4 red beads and 11 beads in total. So the probability of taking out another red bead on the second draw is 4/11.

To find the probability of both events happening, we multiply the probabilities of each event. Therefore, the probability of taking two red beads, one after the other, is:

(5/12) x (4/11) = 5/33

So the probability of a girl taking two red beads, one after the other, from the box is 5/33.