#### A PHP Error was encountered

Severity: Warning

Message: count(): Parameter must be an array or an object that implements Countable

Filename: controllers/calculator.php

Line Number: 37

Coin toss probability calculator - Online Calculator - Tutorpace

# Coin toss probability calculator

## Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

Probability deals with the chances of a particular event happening out of total possible outcomes. When a coin is tossed, there is a chance of getting either a heads or a tails and hence the chances are 50% percentfor each. Coin toss probability calculator helps us find the probability of getting either heads or tails when a coin is tossed the given number of times.

Example 1: A fair coin is tossed 5 times. What is the probability of getting exactly 2 heads?

The total number of possibilities = 25 = 32

(Since there are ‘2’ sides of a coin and it is tossed ‘5’ times)

To get exactly ‘2’ heads, the following are the possibilities:

HHTTT, HTHTT, HTTHT, HTTTH, THHTT, THTHT, THTTH, TTHHT, TTHTH, TTTHH

So when a coin is tossed ‘5’ times, there can be exactly ‘2’ heads ‘10’ times!

Probability, P = (Number of possible outcomes)/ (Total number of outcomes)

P = 10/32

Example 2: A fair coin is tossed 3 times. What is the probability of getting at least 2 heads?

The total number of possibilities = 23 = 8

(Since there are ‘2’ sides of a coin and it is tossed ‘3’ times)

To get at least 2 heads, the following are the possibilities:

HHT, HTH, THH, HHH

So  when a coin is tossed ‘3’ times, there can be at least ‘2’ heads ‘4’ times!

Probability, P = (Number of possible outcomes)/ (Total number of outcomes)

P = 4/8   P = 1/2