14:01X12.2sll 4GT/TIn all South African schools, EVERY learner must choose to do either Mathematicsor Mathematical Literacy.At a certain South African school, it is known that 60% of the learners are girls.The probability that a randomly chosen girl at the school does Mathematical Literacyis 55%. The probability that a randomly chosen boy at the school does MathematicalLiteracy is 65%.Add a caption...Determine the probability that a learner selected at random from this school doesMathematics.i-i> CAROL

Answered: Determine the probability that a…

Math

Probability

Determine the probability that a learner selected at random from this school does Mathematics.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

14:01
X
12.2
s
ll 4G
T/
T
In all South African schools, EVERY learner must choose to do either Mathematics
or Mathematical Literacy.
At a certain South African school, it is known that 60% of the learners are girls.
The probability that a randomly chosen girl at the school does Mathematical Literacy
is 55%. The probability that a randomly chosen boy at the school does Mathematical
Literacy is 65%.
Add a caption...
Determine the probability that a learner selected at random from this school does
Mathematics.
i-i
> CAROL

Expert Solution

Step 1

Let us define some events

A : a student is girl.

B : a student is boy.

E : a student does Mathematics.

It is given that

P(A) = 0.60, P(B) = 1 - 0.60 = 0.40

P(E|A) = 1 - 0.55 = 0.45

P(E|B) = 1 - 0.65 = 0.35

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