A fair die is tossed once, find the probability that it shows 2
To find the probability of rolling a specific number on a fair die, you need to calculate the ratio of successful outcomes (rolling a 2 in this case) to the total possible outcomes.
Step 1: Determine the total possible outcomes:
A fair die has 6 sides, so it can show any number from 1 to 6. Therefore, there are a total of 6 possible outcomes.
Step 2: Count the successful outcomes:
In this case, we are interested in the probability of rolling a 2. Since there is only one face of the die that shows a 2, there is only one successful outcome.
Step 3: Calculate the probability:
To calculate the probability, divide the number of successful outcomes by the number of total possible outcomes.
Probability = Number of successful outcomes / Number of total possible outcomes
In this case, the probability of rolling a 2 on a fair die is:
Probability = 1 (successful outcome) / 6 (total possible outcomes)
Probability = 1/6 or approximately 0.1667
Therefore, the probability of rolling a 2 on a fair die is 1/6 or approximately 0.1667.