/*! 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 1111 A penny is to be tossed 3 times.... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 35: Problem 1111

A penny is to be tossed 3 times. What is the probability there will be 2 heads and 1 tail?

Short Answer

Expert verified
The probability of getting 2 heads and 1 tail when tossing a penny 3 times is \(\frac{3}{8}\) or 0.375.

Step by step solution

01

Calculate the total number of possible outcomes

First, we need to find the total number of possible outcomes for 3 coin tosses. Each toss can either be a head (H) or a tail (T), so there are 2 possible outcomes for each toss. Since there are 3 tosses, the total number of possible outcomes is \(2^3\), which equals 8.
02

Determine the successful outcomes

Next, we have to find all the possible combinations with 2 heads and 1 tail: 1. HHT 2. HTH 3. THH There are a total of 3 successful outcomes with 2 heads and 1 tail.
03

Calculate the probability

Now that we have found the number of successful outcomes and the total number of possible outcomes, we can calculate the probability using the formula: Probability = (Number of successful outcomes) / (Total number of possible outcomes) In this case: Probability = 3 / 8 So the probability of getting 2 heads and 1 tail when tossing a penny 3 times is 3/8 or 0.375.

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

An urn contains 6 white, 4 black, and 2 red balls. In a single draw, find the probability of drawing: (a) a red ball; (b) a black ball; (c) either a white or a black ball. Assume all outcomes equally likely.

A coin is tossed 3 times. Find the probability that all are heads, (a) if it is known that the first is heads, (b) if it is known that the first 2 are heads, (c) if it is known that 2 of them are heads.

Find the probability of throwing two sixes in one toss of a pair of dice.

What is the probability of making a 7 in one throw of a pair of dice?

Find the probability that when a pair of dice are thrown, the sum of the two up faces is greater than 7 or the same number appears on each face.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Calculus

Read Explanation

Statistics

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.