Out of the word Tennessee 9 pieces of paper with each letter of the word written on it are put into a hat. What is the probability that that letter T or N is selected?
since there are 2 n's and 1 t, that's 3 of 9 letters.
probability = 3/9 = 1/3
To find the probability of selecting either the letter T or N from the hat containing the 9 letters of the word Tennessee, we need to determine the total number of favorable outcomes (selecting T or N) and divide it by the total number of possible outcomes (selecting any letter from the hat).
First, let's count the number of times the letter T occurs in the word Tennessee. We see that there are three letter T's.
Next, let's count the number of times the letter N occurs in the word Tennessee. We see that there are two letter N's.
Therefore, we have a total of 3 + 2 = 5 favorable outcomes (T's and N's) in the hat.
Now, let's determine the total number of possible outcomes, which is the total number of letters in the word Tennessee. The word Tennessee has a total of nine letters.
Hence, the probability of selecting either the letter T or N is given by:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Probability = 5 / 9
Therefore, the probability of selecting either the letter T or N from the hat is 5/9.