Question

In: Statistics and Probability

1. A company conducted a marketing survey of college students and found that 225 own a...

1. A company conducted a marketing survey of college students and found that 225 own a bicycle and 77 owned a car. If 23 of those surveyed own both a car and a bicycle, how many interviewed have a car or a bicycle?

2.

A standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each suit containing 13 cards (ace, two through ten, jack, queen, and king) for a total of 52 cards in all.

How many cards in the deck are either a jack or a heart?

How many cards are face cards or clubs?

How many cards are red (diamonds or hearts) or queens?

Expert Solution

1.

Number of students who own a bicycle = 225

Number of students who own a car = 77

Number of students who own a bicycle and a car = 23

Number of students who have a car of bicycle =

Number of students who own a bicycle + Number of students who own a car - Number of students who own a bicycle and a car

= 225+77-23=279

Number of interviewed have a car or a bicycle = 279

2.

Number of cards heart cards = 13

Number of jack cards = 4

Number of cards that are heart and jack = 1

Number or cards in the deck are either a jack or a heart

= Number of cards heart cards + Number of jack cards - Number of cards that are heart and jack =13+4-1 = 16

Number or cards in the deck are either a jack or a heart = 16

-------------------------------------------

Face cards : jack, queen, king

Total number of face cards in the deck = 4 suits x 3 face cards in each suit = 12

Number of face cards in the deck = 12

Total number of club cards = 13

Number of face cards and club cards (Club jack, club queen, club king) = 3

Number of cards that are face cards or clubs

= Number of face cards in the deck + Total number of club cards - Number of face cards and club cards

= 12+13-3 = 22

Number of cards that are face cards or clubs = 22

-----------------------------------

Number red cards(diamonds or hearts) in deck = 13+13=26

Number of queen cards = 4

Number of red cards and queen cards (Diamond Queen and hearts queen) = 2

Number of cards that are red (diamonds or hearts) or queens

= Number red cards(diamonds or hearts) in deck + Number of queen cards - Number of red cards and queen cards (Diamond Queen and hearts queen)

= 26 + 4 -2= 28

Number of cards that are red (diamonds or hearts) or queens = 28

orchestra answered 1 year ago

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