A single die is rolled one time find the probability of rolling a number greater than 3 or less than 2, need help
Less than 2 = 1 or 1/6
Greater than 3 = 4, 5 or 6
Either-or probabilities are found by adding the individual probabilities.
To find the probability of rolling a number greater than 3 or less than 2 when rolling a single die, we need to determine the number of favorable outcomes (outcomes where the condition is satisfied) and the total number of possible outcomes.
In this case, we are looking for numbers greater than 3 (which are 4, 5, and 6) and numbers less than 2 (which is only 1).
Step 1: Determine the favorable outcomes:
- Rolling a number greater than 3: There are 3 favorable outcomes (4, 5, and 6).
- Rolling a number less than 2: There is 1 favorable outcome (1).
Step 2: Determine the total number of possible outcomes:
A single die has 6 faces with numbers 1 to 6. So, the total number of possible outcomes is 6.
Step 3: Calculate the probability:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Probability = (3 + 1) / 6
Probability = 4 / 6
Probability = 2 / 3
Therefore, the probability of rolling a number greater than 3 or less than 2 when rolling a single die is 2/3.