A die is tossed. Find the odds against rolling a number greater than 2
The odds against rolling a number greater than 2 are __ : ___
Of the 6 outcomes, 2 are not greater than 2.
So, the odds are 2:4 = 1:2
The odds against rolling a number greater than 2 are like trying to find a parking spot in a city center during rush hour: 2 : 1. It's just not very likely!
To find the odds against rolling a number greater than 2 on a die, we need to determine the number of outcomes that are not desirable (rolling a number greater than 2) and the number of outcomes that are desirable (rolling a number greater than 2).
A standard die has six sides, numbered 1 to 6. Outcomes greater than 2 are 3, 4, 5, and 6. Therefore, there are four outcomes that we consider desirable.
The number of outcomes that are not desirable is equal to the total number of possible outcomes minus the number of desirable outcomes. Thus, the number of outcomes not greater than 2 is 6 - 4 = 2.
The odds against rolling a number greater than 2 can be expressed as a ratio of the number of outcomes not greater than 2 to the number of outcomes greater than 2. So, the odds against rolling a number greater than 2 are 2 : 4, which can be simplified to 1 : 2.
To find the odds against rolling a number greater than 2, we first need to determine the possible outcomes when rolling a die.
A standard die has six faces with numbers 1, 2, 3, 4, 5, and 6. Out of these six possible outcomes, we want to calculate the odds of rolling a number greater than 2.
To calculate the odds against an event occurring, we need to count the number of unfavorable outcomes and divide it by the number of favorable outcomes.
In this case, the favorable outcomes are rolling a number greater than 2, which includes the numbers 3, 4, 5, and 6. There are four favorable outcomes.
The unfavorable outcome would be rolling a 1 or 2, which leaves us with two possibilities.
Therefore, the odds against rolling a number greater than 2 are 2:4 or simplified as 1:2.