L.I.
Katleho Secondary School kept records of all the learners that arrived late for school. The
Mathematical Literacy teacher noticed that the late arrival is influenced by the occurrence
of
rain.
The tree diagram below was drawn to show the outcomes and probability of late arrivals
when the
chance of rain is 25%
0,2
late (L)
R,L
0,05
rain (R)
0,25
0,8
not late (N)
(a)
0,2
0,75
0,1
late (1)
(b)
0,075
no rain (D)
0,9
not late (N)
D.N
0,675
(Adapted from SASAMS 2019
Study the tree diagram and answer the questions that follow.
1.1.1
Write down the percentage of learners who arrive late if it does not rain.
(2)
1.1.2
Write down the missing outcomes (a) and (b).
(4)
1.1.3
Write down the probability (as a simplified common fraction) of randomly
selecting a learner who arrived late for school on a rainy day.
(2)
1.1.4
if the school has 1 562 leamers, determine how many learners will not be late
if
the
chance for rain is 25%
(3)
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