Indicate whether the statement is true or false. 15 ϵ {2,7,12,20} Solution:- Thus, the statement 15 ϵ {2,7,12,20} means “15 is an element of set {2,7,12,20}”. The elements…
Author: Sir Sagar
Problem 1151
A health inspector must visit 4 of restaurants on Monday. In how many can she pick a first, second, third, and fourth restaurant visit? Solution:- The number of…
Problem 1150
A man has 9 shirt and 4 ties. How many different shirt and tie arrangements can be wear? Solution:- Multiplication Principle of Counting. If a take consists of…
Problem 1149
Pizza House offers 4 different salads, 7 different kinds of pizza, and 5 different desserts. How many different there course meals can be ordered? Solution:- For the event…
Problem 1148
Determine whether the following pair of events are dependent or independent. Event E is the event that a resident of Pennsylvania lives in Pittsburgh, and F is the event that…
Problem 1147
Determine whether the following pair of events are dependent or independent. Two teams from different sport play a game. A is the event that the first team wins, and B…
Problem 1146
Two cards are drawn without replacement from an ordinary deck. Find the probability that two aces are drawn. Solution:- Notice that the problem statement can be written as…
Problem 1145
Two cards are drawn without replacement from an ordinary deck. Find the probability that the second is a spade, given that the first is the ace of spades. Solution:-…
Problem 1144
Two cards are drawn without replacement from an ordinary deck, find the probability that the second id a club, given that the first is not a club. Solution:- …
Problem 1143
Find the eccentricity of the ellipse Solution:- eccentricity of the ellipse = c/a c = √(a^2 – b^2) c = √(25-5) c= √(20) c = 2√(5) eccentricity = (2√5)/5 …
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