Question

4 letters are typed, with repetition allowed. What is the probability that all 4 will be vowels? Write your answer as apercent. Round to the nearest hundredth of a percent as needed.The probability is%.Check Answer

Answer 1

The total number of alphabets are 26.

The total number of vowels are 5.

Th repetition is allowed.

The possible outocme for all to be vowels are,

$PO=5^4$$PO=625$

The total outcome is,

$TO=26^4$

Therefore, the probability that all 4 will be vowels ,

$P=\frac{625}{456976}$$P=0.00137$

The probability is 0.137 %.