**Coin Toss Probability Problem**You toss a fair coin 4 times. What is the probability that (round to 4 decimal places):a) You get all Tails? [ ]b) You get at least one Head? [ ][Submit Question]---**Explanation:**This problem involves calculating the probability of specific outcomes when tossing a fair coin multiple times. - **Probability of all Tails:** For each coin toss, there is a 50% (0.5) chance of landing on Tails. For four tosses, the probability of all outcomes being Tails is calculated as (0.5)^4.- **Probability of at least one Head:** This can be calculated by first finding the probability of getting all Tails (as done above) and subtracting it from 1, since having at least one Head is the complementary event to having all Tails. Please calculate the probabilities and enter them in the boxes provided.--- Click "Submit Question" after entering your answers.

a) When a coin is tossed the possible outcomes are head and tail. A coin is tossed 4 times. The total number of outcomes are 24=16. There would be only one possible outcome for getting all tailsTTTT. The probability that getting all Tails is, PAll tails=Favourable outcomesTotal outcomes=116=0.0625 Thus, the probability that getting all Tails is 0.0625.b) The probability that getting at least one head is, PAt least one head=1-PNo heads=1-116=1-0.0625=0.9375 Thus, the probability that getting at least one head is 0.9375.

Answered: You toss a fair coin 4 times. What is…

Math

Statistics

You toss a fair coin 4 times. What is the probability that (round to 4 decimal places) a) you get all Tails? b) you get at least one Head?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

**Coin Toss Probability Problem**

You toss a fair coin 4 times. What is the probability that (round to 4 decimal places):

a) You get all Tails? [ ]

b) You get at least one Head? [ ]

[Submit Question]

---

**Explanation:**

This problem involves calculating the probability of specific outcomes when tossing a fair coin multiple times.

- **Probability of all Tails:** For each coin toss, there is a 50% (0.5) chance of landing on Tails. For four tosses, the probability of all outcomes being Tails is calculated as (0.5)^4.

- **Probability of at least one Head:** This can be calculated by first finding the probability of getting all Tails (as done above) and subtracting it from 1, since having at least one Head is the complementary event to having all Tails.

Please calculate the probabilities and enter them in the boxes provided.

---

Click "Submit Question" after entering your answers.

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You toss a fair coin 4 times. What is the probability that (round to 4 decimal places)a) you get all Tails? b) you get at least one Head?