Concept explainers
To calculate: The probability that drawn card is a queen provided that the card is a face card.
Answer to Problem 5CFU
The probability that drawn card is a queen provided that the card is a face cardis
Explanation of Solution
Given information:
A deck of 52 cards and the first card drawn is a face acrd.
Formula used:
Probability of an event Eis
Given an event Q , the conditional probability of event A is
Calculation:
Consider the provided information that deck of 52 cards is there and the first card drawn is a face card.
The probability that drawn card is a queen provided that the card is a face card.
Let A be an event that card is queen and B be an event a black card is face card.
There are 12 face cards and 4 queens.
Recall that probability of an event Eis
Probability of drawing a face card is,
Probability of drawing queen face card,
Recall that given an event Q , the conditional probability of event A is
The probability that drawn card is a queen provided that the card is a face card.
Thus, the probability that drawn card is a queen provided that the card is a face card is
Chapter 13 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus: Early Transcendentals (3rd Edition)
University Calculus: Early Transcendentals (4th Edition)
University Calculus: Early Transcendentals (3rd Edition)
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