Probability

READ THESE INSTRUCTIONS FIRST
Answer all the questions.
Give non-exact numerical answers correct to 3 significant figures, or 1 ten-fold place in the case of
angles in degrees, unless a distinguishable level of accuracy is specified in the question.
You are anticipate to use a brilliant calculator.
Unsupported answers from a graphic calculator are allowed unless a question specifically states
otherwise.
Where single-handed answers from a graphic calculator are not allowed in a question, you are required
to present the mathematical steps utilize mathematical notations and not calculator commands.
You are reminded of the need for slang presentation in your answers.
The number of marks is given in brackets [ ] at the end of each question or deduct question.
At the end of the examination, fasten all your work firm together.

1.

Data about the status of employment for 150 residents a small rural town is shown in
the following table:
Male
Female

Unemployed
14
21

Employed
48
43

Self-employed
9
15

A person from this town is chosen at random.
M is the impression that the person is a male.
U is the event that the person is unemployed.
E is the event that the person is employed.
S is the event that the person is self-employed.
point out the following probabilities in exact form:
(a)
P(M),
(b)
P(M ? U ),
(c)
P(M ? E ),
(d)
P(M | S ).





1

[1]
[1]
[1]
[2]

2.

A dice suspected of being dyed is propel a large number of times. It is found
1
that the probabilities of obtaining a 2, 3, 4 or 5 are each equal to
. The
8
1
opportunity of obtaining a 1 is found to be
.
16
(i)
Show that the probability of obtaining a 6 if the dyed dice is thrown once is
7
.
[1]
16
(ii)
If this biased dice and a fair dice are thrown once, find the probability
that
(a)
the pairing on the two dice is 3,
[2]
(b)
the sum on the two dice exceeds 10,
[2]
(c)
at least genius odd number appearing on the two dice.
[3]

3.

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