Answered: If you pick a card from a regular deck…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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If you pick a card from a regular deck of 52 cards, what is the probability of getting a club 3 times in a row? Assume that the club is put back in after each draw so that you are selecting from a full deck each time. (Enter your probability as a fraction.)

Expert Solution

Step 1

INTRODUCTION

Probability is the measure of how likely something is to occur. It is expressed as a number between 0 and 1, where 0 indicates an event is impossible and 1 indicates it is certain. Probability theory is used to make predictions about the likelihood of a given event occurring, based on prior knowledge or data. It can be used to calculate the odds of winning a game of chance, the likelihood of rain on a given day, or the probability of a medical diagnosis being correct.

Aim: We have to find the probability of getting a club 3 times in a row if we pick a card from a regular deck of 52 cards. The club is put back in after each draw so we select from a full deck each time.