Problem 1166

If the probability is 0.81 that a candidate wins the election, what is the probability that he loss?   Solution:-   Suppose that we divide a final sample space into…

Problem 1164

Is the selection a permutation, a combination, or neither? A group of 10 friends sits in the same row in a movie theater.   Solution:-   Use the definition of…

Problem 1163

An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. Find the probability of the sum of the dots indicated. A sum…

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…