axel writes each letter of his name on a tile and places the 4 tiles in a bag. if he draws each tile out of…

axel writes each letter of his name on a tile and places the 4 tiles in a bag. if he draws each tile out of the bag at random, what is the probability that he will draw the letters a - x - e - l, in that order? start

axel writes each letter of his name on a tile and places the 4 tiles in a bag. if he draws each tile out of the bag at random, what is the probability that he will draw the letters a - x - e - l, in that order? start

Answer

Explanation:

Step1: Calculate total permutations

The number of permutations of (n) distinct objects is (n!). Here (n = 4) (the letters A, X, E, L), so the total number of permutations is (4!=4\times3\times2\times 1=24).

Step2: Determine favorable permutations

There is only 1 favorable outcome (drawing A - X - E - L in that order).

Step3: Calculate probability

The probability (P) of an event is the number of favorable outcomes divided by the total number of outcomes. So (P=\frac{1}{24}).

Answer:

(\frac{1}{24})