Question

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? There are 6 outcomes for each tile.

Answer 1

The probability of him drawing his name is:
. ( 1/24 )
-4 tiles x 6 outcomes

Answer 2

Answer:

Hence, the probability that he will draw the letters A-X-E-L, in that order is:

$\dfrac{1}{24}$

Step-by-step explanation:

It is given that:

Axel writes each letter of his name on a tile and places the 4 tiles in a bag.

Now he draws each tile out of the bag at random.

We are asked to find the he probability that he will draw the letters A-X-E-L, in that order.

Total number of outcomes of drawing tiles=4!=4×3×2×1=24.

The number of ways of drawing A-X-E-L in the same order is:1.

Hence, the probability is given by:

Probability=(Number of favourable outcomes)/(Total number of outcomes)

Hence, Probability=1/24

Hence, the probability that he will draw the letters A-X-E-L, in that order is:

$\dfrac{1}{24}$