Bonita bought her mom a charm bracelet. Each charm is labeled with a one-word message.
What is the probability that the 5 charms were hung in the order: dream, believe, love, laugh, inspire?
The question is very poorly worded.
If the clasp provides a starting point to anchor the order, then 1/5! = 1/120
If there is no way to determine which is the "first" charm, then 1/4! = 1/24
If you can flip the bracelet over, so mirror images are the same, then 2/4! = 1/12
To determine the probability of the 5 charms being hung in the specific order dream, believe, love, laugh, inspire, we need to know the total number of possible orders the charms can be arranged in.
Since there are 5 charms, the total number of possible orders can be calculated as the factorial of 5, denoted as 5!.
5! = 5 x 4 x 3 x 2 x 1 = 120
So, there are 120 possible orders in which the charms can be arranged.
Since we are interested in one specific order (dream, believe, love, laugh, inspire), there is only one favorable outcome.
Therefore, the probability of the 5 charms being hung in the order dream, believe, love, laugh, inspire is 1/120, or approximately 0.0083.
To calculate the probability of the charms being hung in the specific order dream, believe, love, laugh, inspire, we need to know two things: the total number of possible arrangements and the number of arrangements that result in the specific order.
To get the total number of possible arrangements, we need to know the number of charms available. Let's assume there are 5 different charms available: A, B, C, D, E.
The first charm can be any one of the 5 available charms (A, B, C, D, or E). Once the first charm has been chosen, there are 4 remaining charms that can be chosen for the second charm. After choosing the second charm, we have 3 remaining charms available for the third charm, 2 remaining charms for the fourth charm, and only 1 remaining charm for the fifth charm.
Therefore, the total number of possible arrangements is calculated as follows:
5 (choices for the first charm) × 4 (choices for the second charm) × 3 (choices for the third charm) × 2 (choices for the fourth charm) × 1 (choice for the fifth charm) = 5! (5 factorial).
Now, let's determine the number of arrangements that result in the specific order dream, believe, love, laugh, inspire. Since each charm is labeled with a one-word message, we can safely assume that there is only one charm of each word available. Therefore, there is only one way to hang the charms in this specific order.
Therefore, the probability of the 5 charms being hung in the order dream, believe, love, laugh, inspire is calculated as follows:
Number of arrangements resulting in the specific order (1) / Total number of possible arrangements (5!) = 1 / 120 = 1/120 = 0.00833 (rounded to 5 decimal places).
So, the probability is approximately 0.00833 or 0.833%.