A 10 sided dice numbered 1 to 10 rolled four times.
a)Write how many outcomes will we get?
b)What are the possible outcomes?
each roll gives 10 possible outcomes, so there are 10^4 events.
I ain't gonna list them, but the list starts and ends with
1 1 1 1
1 1 1 1
...
10 10 10 9
10 10 10 10
To answer these questions, we need to understand the concept of permutations.
a) The total number of outcomes can be calculated by multiplying the number of options at each roll. Since the 10-sided dice is rolled four times, there are 10 options for each roll. Therefore, the total number of outcomes can be calculated as 10^4 (10 multiplied by itself four times), resulting in 10,000 outcomes.
b) To determine the possible outcomes, we can list all the combinations. However, since there are 10,000 outcomes, it would be impractical to list all of them here. Instead, we can provide an example to illustrate how to find them.
Let's assume the rolls result in the numbers 7, 3, 10, and 2. This outcome can be represented as (7, 3, 10, 2). Here, the 1st roll (leftmost) resulted in a 7, the 2nd roll resulted in a 3, the 3rd roll resulted in a 10, and the 4th roll resulted in a 2.
Using this format, we can represent all 10,000 outcomes. However, providing the entire list would be impractical due to the sheer number of outcomes.