Question 3 (a) A table tennis team has 4 players. How many ways can a coach select the first and second singles? (b) A password consists of 5 symbols. If the first and second symbols are digits, the third, fourth and fifth are characters, how many five-symbol passwords can be formed? (c) A set has 20 elements. How many subsets of the set can be formed such that each subset consists of 10 elements? (d) A box contains 12 rubies, 22 diamonds and 34 agates. If a mineral is drawn at random, determine the probability that: (i) the mineral is a ruby. (ii) the mineral is not an agate. (e) A and B are two events in a sample space S such that: P(A|B) =0.2, P(A)=0.45 and P(B')=0.6. Find: (i) P(B|A), (ii) P(B|A'). (f) The table below shows 100 students who registered for Art course. Basic Advanced Male 25 35 Activat Go to Set Female UTA 14 26

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(f) The table below shows 100 students who registered for Art course.
Basic
Advanced
35
Male
25
26
Female
14
Determine whether the events of "selecting a male student" and "selecting a student who is
registered in an advanced Art course" are independent.
Transcribed Image Text:(f) The table below shows 100 students who registered for Art course. Basic Advanced 35 Male 25 26 Female 14 Determine whether the events of "selecting a male student" and "selecting a student who is registered in an advanced Art course" are independent.
Question 3
(a) A table tennis team has 4 players. How many ways can a coach select the first and
second singles?
(b)A password consists of 5 symbols. If the first and second symbols are digits, the third,
fourth and fifth are characters, how many five-symbol passwords can be formed?
(c) A set has 20 elements. How many subsets of the set can be formed such that each
subset consists of 10 elements?
(d) A box contains 12 rubies, 22 diamonds and 34 agates. If a mineral is drawn at random,
determine the probability that:
(i) the mineral is a ruby.
(ii) the mineral is not an agate.
(e) A and B are two events in a sample space S such that: P(A|B)=0.2, P(A) =0.45 and
P(B') = 0.6. Find:
(i) P(B|A),
(ii) P(B|A').
(f) The table below shows 100 students who registered for Art course.
Basic
Advanced
Male
25
35
Artivate
Go to Settir
Female
14
26
Transcribed Image Text:Question 3 (a) A table tennis team has 4 players. How many ways can a coach select the first and second singles? (b)A password consists of 5 symbols. If the first and second symbols are digits, the third, fourth and fifth are characters, how many five-symbol passwords can be formed? (c) A set has 20 elements. How many subsets of the set can be formed such that each subset consists of 10 elements? (d) A box contains 12 rubies, 22 diamonds and 34 agates. If a mineral is drawn at random, determine the probability that: (i) the mineral is a ruby. (ii) the mineral is not an agate. (e) A and B are two events in a sample space S such that: P(A|B)=0.2, P(A) =0.45 and P(B') = 0.6. Find: (i) P(B|A), (ii) P(B|A'). (f) The table below shows 100 students who registered for Art course. Basic Advanced Male 25 35 Artivate Go to Settir Female 14 26
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