A letter is picked random from the word COMPUTER. What is the probability that it is neither in the word met nor in the word up

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3/8

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To determine the probability that a letter picked at random from the word "COMPUTER" is neither in the word "met" nor in the word "up," we first need to calculate the total number of letters in the word and then subtract the letters that are in either "met" or "up."

Step 1: Counting the Total Letters
The word "COMPUTER" has 8 letters.

Step 2: Counting Letters in "met" and "up"
The word "met" has 3 letters, and the word "up" has 2 letters.

Step 3: Subtracting Letters in "met" and "up" from the Total Letters
We subtract the letters in "met" (3 letters) and "up" (2 letters) from the total letters in "COMPUTER" (8 letters).

Total letters - Letters in "met" - Letters in "up" = 8 - 3 - 2 = 3

Step 4: Calculating Probability
The remaining 3 letters are the ones that are neither in "met" nor in "up." Therefore, the probability of picking a letter that fits this criterion is:

Probability = Remaining Letters / Total Letters = 3 / 8

Thus, the probability that a letter picked at random from the word "COMPUTER" is neither in "met" nor in "up" is 3/8.