1 Many newspapers carry a certain puzzle in which the reader

1) Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words. How many ways can the letters of WSILUTA be arranged? Identify the correct unscrambling, then determine the probability of getting that result by randomly selecting one arrangement of the given letters.

What is the probability of coming up with the correct unscrambling through random letter selection?

Solution

How many ways can the letters of WSILUTA be arranged?

YOU HAVE 7 LETTERS TO CHOOSE AT THE BEGGINING FOR THE FIRST LETTER

THE SECOND LETTER YOU JUST HAVE 6 LETTERS BECAUSE YOU ALREADY USED 1 LETTER IN THE FIRST PLACE

SO THE DIFFERENT WAYS THAT YOU CAN ARRANGED THAT IS

7*6*5*4*3*2*1 = 5040

Identify the correct unscrambling,

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determine the probability of getting that result by randomly selecting one arrangement of the given letters.

THE PROBABILITY OF GETTING THE RESULT ( GET THE GOOD ANSWER)

THERE IS ONLY 1 ANSWER GOOD AND 5040 POSIBILITIES

SO YOU HAVE

PROBABILITY = 1/5040

PROBABILITY = 0.0001984

What is the probability of coming up with the correct unscrambling through random letter selection?

IS THE SAME ANSWER BUT IN THIS CASE IS FOR EACH LETTER

If you want it written out in full it would be
1/7 x 1/6 x 1/5 x 1/4 x 1/3 x 1/2 x 1/1 = 1/5040

you have a 1/7 chance of guessing the first letter correctly a 1/6 probability of guessing the second letter correctly and so on.