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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

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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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