/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 6 You are dealt one card from a 52... [FREE SOLUTION] | 91影视

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Chapter 11: Problem 6

You are dealt one card from a 52-card deck. Find the probability that you are not dealt a red picture card.

Short Answer

Expert verified
The probability of not dealing a red picture card from a 52-card deck is \(\frac{12}{13}\).

Step by step solution

01

Determine Total Number of Cards and Red Picture Cards

A standard deck of cards has 52 cards. Among these, there are two red picture cards for each type: king and queen. Thus, there are 4 red picture cards in total.
02

Calculate Probability of Dealing a Red Picture Card

The probability of a particular event can be calculated as the ratio of the number of favorable outcomes to the total number of outcomes. Therefore, the probability of dealing a red picture card can be calculated as \(\frac{4}{52}\). Reducing this fraction gives \(\frac{1}{13}\), which is the probability of dealing a red picture card.
03

Calculate Probability of Not Dealing a Red Picture Card

The probability of not dealing a red picture card can be calculated as 1 minus the probability of dealing a red picture card. Hence, the probability of not dealing a red picture card is 1 - \(\frac{1}{13}\), which equals \(\frac{12}{13}\).

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