/*! 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 1106 If a card is drawn from a deck o... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 35: Problem 1106

If a card is drawn from a deck of playing cards, what is the probability that it will be a jack or a ten?

Short Answer

Expert verified
The probability of drawing either a jack or a ten from a standard deck of playing cards is \( \frac{2}{13} \).

Step by step solution

01

Counting the jacks and tens

There are 4 suits in a deck, and each suit has 1 jack and 1 ten. So, there are 4 jacks and 4 tens in a standard deck of 52 playing cards (1 jack and 1 ten per suit). This gives us a total of 4 + 4 = 8 favorable outcomes (jacks and tens).
02

Calculate the probability

To calculate the probability of drawing either a jack or a ten, we will divide the number of favorable outcomes (jacks and tens) by the total number of possible outcomes (total number of cards in the deck). This can be represented as: Probability = (Number of Jacks and Tens) / (Total Number of Cards)
03

Plug in the values and solve

Now we will plug in the values we found in step 1 into the probability formula: Probability = (8) / (52)
04

Simplify the fraction

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 4: Probability = \( \frac{8}{52} \) = \( \frac{2}{13} \) So, the probability of drawing either a jack or a ten from a standard deck of playing cards is \( \frac{2}{13} \).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Determine the probability of getting 6 or 7 in a toss of two dice.

In a single throw of a single die, find the probability of obtaining either a 2 or a 5 .

A deck of playing cards is thoroughly shuffled and a card is drawn from the deck. What is the probability that the card drawn is the ace of diamonds?

Suppose that we have a bag containing two red balls, three white balls, and six blue balls. What is the probability of obtaining a red or a white ball on one withdrawal?

A die is tossed five times. What is the probability that an ace will appear: (a) at least twice; (b) at least once?
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.