Question

Each individual letter in TENNESSEE is placed on

Answer 1

Answer:

15. $P(S)=\frac{2}{9}$

16. $P(Consonant)=\frac{5}{9}$

17. $P(TorN)=\frac{3}{9}$

18. $P(V)=1$

19. $P(W)=0$

20. $P(S)=\frac{7}{9}$

Answer 2

Answers

15. 2/9 (two ninths)

16. 5/9 (five ninths)

17. 1/3 (one third)

18. 9/9 (nine ninths)

19. 0

20. 7/9 (seven ninths)

Explanations

There are nine letters.

There is one T.

There are 4 E's.

There are two N's.

There are two S's.

15. You know that there are two S's. Two S's out of nine total letters is 2/9. The probability that an S is selected is 2/9.

16. A consonant is a letter that is not a vowel. The consonants in TENNESSEE are T, N, and S. There is one T, two N's, and two S's, meaning there are 5 consonants. Five consonants out of nine total letters is 5/9. The probability that a consonant is selected is 5/9.

17. You know that there is one T and two N's. This is a total of three letters. The probability of getting on of these three letters is 3/9. 3/9 simplified is 1/3. The probability of selecting a T or N is 1/3.

18. You know that there are no V's in TENNESSEE. Therefore, no matter what letter you select, there is a 100% chance you'll get a number that is not V. All nine letters are not the letter V, so the probability of selecting a letter that is not V is 1/1 or 1.

19. You know that there are no W's in TENNESSEE either. Therefore, whichever letter you select, you will not get a W. The chance of selecting a W is 0/9 or 0.

20. There are four S's. That means there are five letters that are not S. These are: T, N, N, S, S. Five letters out of nine letters in total is 5/9. The probability of selecting a number that is not S is 5/9.