In exercises 17-20, a single die is rolled one time. Determine the probability of rolling a number greater than 3 or less than 5.
1/6
greater than 3: 3/6=1/2
less than 5: 4/6=2/3
To determine the probability of rolling a number greater than 3 or less than 5, we need to count the total number of favorable outcomes and divide it by the total number of possible outcomes.
In this case, we have a single die with six faces numbered from 1 to 6. We want to find the probability of rolling a number greater than 3 or less than 5. Let's break it down into two separate events:
1. Rolling a number greater than 3: The numbers greater than 3 are 4, 5, and 6. So there are 3 favorable outcomes for this event.
2. Rolling a number less than 5: The numbers less than 5 are 1, 2, 3, and 4. So there are 4 favorable outcomes for this event.
Now, to find the total number of possible outcomes, we need to consider all the faces of the die, which is 6. This represents the total number of possible outcomes.
To calculate the probability, we add the favorable outcomes together (3 + 4 = 7) and divide it by the total number of outcomes (6):
Probability = Favorable outcomes / Total outcomes
= 7 / 6
Therefore, the probability of rolling a number greater than 3 or less than 5 is 7/6.