Access this ZIMSEC O-Level Mathematics 1996-2009 study guide for revision, practice, and exam preparation in Zimbabwe.
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This is the ZIMSEC O-Level Mathematics study guide. It is a free study guide for revision. The paper code is 4008/1.
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PROBABILITY_1996-2009
A bag contains 10 identical balls of which 3 are red, 1 is blue and 6 are green. Two balls are drawn, at random, from the bag without replacement, one after the other. Calculate the probability that
(a) the first ball is green and the second is blue.
(b) both balls are blue.
[1]
(c) both balls are of the same colour.
4008/1 4028/1 S96 Q26
A box contains 5 red sweets and 3 yellow sweets which are identical except for colour. John takes a sweet from the box at random and eats it. David then takes a sweet from the box at random. Giving your answer as fractions in their lowest terms, calculate the probability that
(a) John takes a red sweet,
(b) both John and David take red sweets,
(c) both John and David take sweets of the same colour.
[2]
4008/1 4028/1 S97 Q21
The probability that Tsitsi is late for breakfast is $\frac{3}{7}$ whilst that for Tendai is $\frac{1}{3}$. Giving each of your answers as a common fraction in its lowest terms, find the probability that
(a) on a particular day,
(i) Tsitsi is early for breakfast,
[1]
(ii) they are both late for breakfast,
[1]
(iii) either Tsitsi or Tendai is late for breakfast,
[2]
(b) Tendai is early for breakfast on two consecutive days.
[1]
4008/1 4028/1 W97 Q17
(b)
A dart (small arrow) is thrown at the square target of side 40 cm shown above. There is a shaded region inside the target the dimensions of which are 25 cm square on the outside and 15 cm square on the inside. Assuming that the dart hits the target in a random manner, find
the probability that it will hit the shaded region.
[4]
(c) In a class of 40 pupils, 24 study mathematics, 18 study geography and 11 study neither of these subjects. A pupil is chosen at random. Find the probability that the pupil studies geography but not mathematics.
[3]
4008/2 W97 Q11
A survey aimed at finding out how 750 pupils got to school and whether they played hockey was conducted. The results were recorded and probabilities calculated. The tree diagram below shows some of the results of the survey.
(a) Complete the probability tree diagram shown below.
[2]
(b) Calculate how many of the pupils cycled to school.
[1]
(c) One pupil was selected at random. Giving each of your answers as a common fraction in its lowest terms, find the probability that the pupil selected
(i) cycled to school and played hockey.
(ii) did not play hockey.
[2]
4008/1 4028/1 W98 Q22
There are 500 pupils at a …