Math Problem Statement

A card is drawn randomly from a standard 52-card deck. Find the probabilities of the given events. The card drawn is a 5.

The card drawn is a face card (Jack, Queen, or King).

The card drawn is not a face card.

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Combinatorics

Formulas

P(event) = (Number of favorable outcomes) / (Total number of outcomes)
P(5) = 4/52 = 1/13
P(Face card) = 12/52 = 3/13
P(Not a face card) = 40/52 = 10/13

Theorems

Basic Probability Theorem

Suitable Grade Level

Grades 6-8