A fair six-sided dice is tossed. Determine the odds against rolling a number less than 2.
There is 1 number less than 2
There are 5 numbers not less than 2.
Odds are 5:1 against rolling less than 2.
Well, rolling a number less than 2 on a fair six-sided dice is quite a challenge. There is only one face with a number less than 2, which is 1. So, the odds against rolling a number less than 2 would be 5 to 1. The dice seems to have some high standards, it doesn't like small numbers apparently!
To determine the odds against rolling a number less than 2, we need to first determine how many outcomes are favorable to the event (rolling a number less than 2) and how many total possible outcomes exist.
Since we are tossing a fair six-sided dice, the possible outcomes are numbers 1, 2, 3, 4, 5, and 6.
The favorable outcome in this case is rolling a number less than 2, which in this case is just 1.
So, there is only 1 favorable outcome.
The total number of possible outcomes is 6 because there are 6 sides on a six-sided dice.
Thus, the odds against rolling a number less than 2 are given by the ratio of the number of unfavorable outcomes to the total number of outcomes.
Therefore, the odds against rolling a number less than 2 are 5 to 1, or simply 5:1.
To determine the odds against rolling a number less than 2 on a fair six-sided dice, we first need to count the favorable outcomes (the outcomes where the number rolled is less than 2) and the total outcomes.
In this case, the only favorable outcome is rolling a 1. So, there is only 1 favorable outcome.
The total number of outcomes for rolling a six-sided dice is 6 since there are 6 possible numbers that can appear (1, 2, 3, 4, 5, and 6).
Now, we can calculate the odds against rolling a number less than 2.
The odds are determined by dividing the number of unfavorable outcomes (total outcomes minus favorable outcomes) by the favorable outcomes.
Unfavorable outcomes = Total outcomes - Favorable outcomes
= 6 - 1
= 5
Therefore, the odds against rolling a number less than 2 are 5 to 1 (5:1).