If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a club or heart? (Your answer must be in the form of a reduced fraction.) `P`(club or heart) =

If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a club or heart? (Your answer must be in the form of a reduced fraction.) `P`(club or heart) =

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Expert Solution

Step 1

A well shuffled deck of 52 cards has four suits- Club, heart, spade and diamond.

Each suit has 13 cards. Each card is equally likely to be selected.

The probability that a randomly selected card is a club = $\frac{13}{52}$

The probability that a randomly selected card is a heart = $\frac{13}{52}$

The probability that a randomly selected card is a club and a heart = 0 because each event is mutually exclusive.

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