Final answer:
The probability of selecting a letter that is either in the word CUT or in the word Rope from the word COMPUTER is A) 3/8. The probability that the chosen letter is neither in the word MET nor in the word UP is also A) 3/8.
Step-by-step explanation:
To determine the probability of selecting a letter that is either in the word CUT or in the word Rope from the word COMPUTER, we need to calculate the number of favorable outcomes and divide it by the total number of possible outcomes.
The word CUT has 3 letters that are in the word COMPUTER (C, U, and T), and the word Rope has 2 letters that are in the word COMPUTER (O and E).
However, we need to be careful not to overcount the letters that appear multiple times in the word COMPUTER. There are 2 Os and 2 Es, so we count them as 1 each. Therefore, the total number of favorable outcomes is 3 + 2 - 2 = 3.
The total number of letters in the word COMPUTER is 8, so the total number of possible outcomes is 8. Therefore, the probability that the chosen letter is either in the word CUT or in the word Rope is 3/8.
To determine the probability that the chosen letter is neither in the word MET nor in the word UP, we need to calculate the number of favorable outcomes and divide it by the total number of possible outcomes.
The word MET has 2 letters that are not in the word COMPUTER (M and T), and the word UP has 2 letters that are not in the word COMPUTER (U and P).
However, we need to be careful not to count the letters that are in both words twice. The letter U is in both words, so we count it as 1. Therefore, the total number of favorable outcomes is 2 + 2 - 1 = 3.
The total number of letters in the word COMPUTER is 8, so the total number of possible outcomes is 8. Therefore, the probability that the chosen letter is neither in the word MET nor in the word UP is 3/8.