Higgins was asked to make a unique three-letter arrangement using only letters from the word home. he can use each letter only once. (his arrangement doesn’t need to be a valid word.)
: the probability that higgins forms a three-letter arrangement with vowels as the second and third letters is
1/3 1/4 1/6 1/8

the probability that higgins forms a three-letter arrangement with two consecutive consonants is
1/3 1/4 1/6 1/8

1) Third option is correct.

2) First Option is correct.

Step-by-step explanation:

Since we have given that

There is unique three- letter arrangement using only letters from the word home.

so, The total possible arrangement would be :

1) We need to find the probability that Higgins forms a three letter arrangement with vowels as the second and third letters is as follows:

So, the total probability that a three letter arrangement with vowels as the second and third letters is

Therefore, Third option is correct.

Now, we need to find the probability that HIggins forms a three letter arrangement with two consecutive consonants is as follows:

So, the Probability that Higgins forms a three letter arrangement with two consecutive consonants is given by

Hence, First option is correct.

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a