You draw one card from a standard deck. What is the probability that it is a Jack or a Diamond? 18/52 1/52 4/52 17/52 4/13

A First Course in Probability (10th Edition)
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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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You draw one card from a standard deck. What is the probability that it is a Jack or a Diamond?

18/52
1/52
4/52
17/52
4/13
Expert Solution
Step 1

There are 52 cards in a standard deck of playing cards.

There are 13 cards each of 4 different suits -

  • Spades
  • Hearts
  • Clubs
  • Diamonds

There is a Jack card in every suit so that there are 4 Jacks in all.

There are 13 diamonds in a deck of cards,  but we need to subtract 1 to account for the double-counting of the jack of diamonds.

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