3. A coin is launched 4 times. What is the probability of "face" minus 3 times?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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3. A coin is launched 4 times. What is the probability of "face" minus 3 times? 4. A poker hand (5 cards) of a 52 -card deck is launched. There are 13 values ​​of values ​​and 4 different types of letters. What is the probability of taking two pairs in one hand?
Expert Solution
Step 1: Introduction

Note: As per the multiple questions rule, solving first question. Kindly repost the question and specify the unanswered ones to solve.

A coin is launched 4 times.

The possible outcomes when a coin launched 4 times would be:

open curly brackets left parenthesis H comma H comma H comma H right parenthesis comma space left parenthesis T comma H comma H comma H right parenthesis comma space left parenthesis H comma T comma H comma H right parenthesis comma space left parenthesis H comma H comma T comma H right parenthesis comma
space left parenthesis H comma H comma H comma T right parenthesis comma space left parenthesis T comma T comma H comma H right parenthesis comma space left parenthesis T comma H comma T comma H right parenthesis comma space left parenthesis T comma H comma H comma T right parenthesis comma
space left parenthesis H comma T comma T comma H right parenthesis comma space left parenthesis H comma T comma H comma T right parenthesis comma space left parenthesis H comma H comma T comma T right parenthesis comma space left parenthesis T comma T comma T comma H right parenthesis comma
space left parenthesis T comma T comma H comma T right parenthesis comma space left parenthesis T comma H comma T comma T right parenthesis comma space left parenthesis H comma T comma T comma T right parenthesis comma space left parenthesis T comma T comma T comma T right parenthesis comma close curly brackets

The total number of possible outcomes would be equal to 16.

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