Theory question 105
Data Presentation(a) A man shared his property among his children as follows:
Child's name: Ann, Afia, Kojo, Nuno, Akosua
Percentage share: 5, 15, 10, 45, 25
Represent the information on a pie chart.
(b) A box contains 5 red, 3 green and 4 blue identical beads. Calculate the probability that a girl takes away two red beads, one after the other, from the box.
Show the model answer
Model answer
(a) Angles = percentage × 3.6°: Ann 18°, Afia 54°, Kojo 36°, Nuno 162°, Akosua 90° (total 360°)
Draw the circle, measure each sector with a protractor and label it
(b) 12 beads, taken without replacement:
P(red, red) = 5/12 × 4/11 = 20/132 = 5/33
Explanation
Taking beads away one after the other means without replacement.