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