I throw a pair of 6-sided dice. Write down an event that has a probability of 0 and an outcome that has a probability of 1.
Event with probability 0: Getting a number greater than 6 on one of the dice. Outcome with probability 1: Getting a number from 1 to 6 on both dice.
Explanation
The context explicitly states that getting a number greater than 6 on a die is impossible because dice only have numbers from 1 to 6, making its probability 0. Conversely, the context notes that the probability of an event that is certain to happen is 1. Since the sample space for a 6-sided die is {1, 2, 3, 4, 5, 6}, rolling a number within this range on both dice is a certain event with a probability of 1.
Solution Steps
Step 1: Identify an impossible event (probability 0) based on the context, such as 'Getting a number greater than 6 on one of the dice' (since dice only have numbers 1 to 6).
Step 2: Identify a certain event (probability 1), such as 'Getting a number from 1 to 6 on both dice' (since this covers the entire sample space and is certain to happen).