No. You correctly intuit that there is a chance of not rolling any "1"'s at all.piercebeatz said:This question has been bothering me for a while. If you roll a 6 sided die 6 times, is there a 1 probability that you with roll the number 1?
The probability of rolling a "1" is 1/6 for the die. Therefore the probability of rolling any other number is 5/6 ... since the rolls are independent, the probability of rolling anything but a 1 all six times is (5/6)^6 ... so the probability of getting at least one "1" in six rolls is 1-(5/6)^6.What is the percent chance that you will roll the number 1? It clearly isn't 100%...
Simon Bridge said:No. You correctly intuit that there is a chance of not rolling any "1"'s at all.The probability of rolling a "1" is 1/6 for the die. Therefore the probability of rolling any other number is 5/6 ... since the rolls are independent, the probability of rolling anything but a 1 all six times is (5/6)^6 ... so the probability of getting at least one "1" in six rolls is 1-(5/6)^6.
That's the shortcut - you can also set it up as a binomial probability problem.
Probability is a measure of the likelihood or chance of an event occurring. It is usually expressed as a decimal, fraction, or percentage between 0 and 1, where 0 represents impossibility and 1 represents certainty.
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. This is known as the probability formula: P(event) = number of favorable outcomes / total number of possible outcomes.
A simple probability question is one that involves a single event with a limited number of outcomes. For example, "What is the probability of rolling a 4 on a standard six-sided die?"
Probability and statistics are closely related fields. Probability is used to predict the likelihood of future events, while statistics is used to analyze data and draw conclusions about the likelihood of certain outcomes based on past data.
There are three main types of probability: theoretical, experimental, and subjective. Theoretical probability is based on mathematical principles and assumes that all outcomes are equally likely. Experimental probability is based on data from actual experiments or trials. Subjective probability is based on personal beliefs or opinions about the likelihood of an event occurring.