When throwing an unbiased die, the probability of getting a number >5 is
1/6.
This is because an unbiased die has six equally likely outcomes (numbers 1-6), and only one of these outcomes (6) is greater than 5. Therefore, the probability of getting a number greater than 5 is 1 out of 6 or 1/6.
To determine the probability of getting a number greater than 5 when throwing an unbiased die, we need to consider the total number of possible outcomes and the number of favorable outcomes.
Step 1: Identify the total number of possible outcomes:
When throwing a standard die, there are 6 possible outcomes represented by the numbers 1, 2, 3, 4, 5, and 6.
Step 2: Determine the number of favorable outcomes:
In this case, we are interested in getting a number greater than 5, so we have 2 favorable outcomes, which are 6 and only 6.
Step 3: Calculate the probability:
The probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 2 / 6
Simplifying the fraction, the probability of getting a number greater than 5 when throwing an unbiased die is 1/3 or approximately 0.3333.