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A letter is picked random from the word COMPUTER. What is the probability that it is either in the word CUT or in the word ROPE

please show workings
#thanks

Possible outcomes=8

Required outcomes;
CUT=3
ROPE=4

Pr CUT or ROPE.
Pr(cut)=3/8
Or(rope)=4/8

Pr(cut) + Pr(rope)
3/8 + 4/8= 7/8

7/8

7 choices out of 8 letters

Please show me the workingb

A letter is picked random from the word

COMPUTER. What is the probability that it is
either in the word CUT or in the word ROPE

A letter is picked random from the word

COMPUTER. What is the probability that it is
either in the word CUT or in the word ROPE

Thank you

To find the probability of choosing a letter that is either in the word "CUT" or in the word "ROPE" from the word "COMPUTER," we need to calculate the total number of favorable outcomes and divide it by the total number of possible outcomes.

First, let's determine the total number of favorable outcomes, which refers to the number of letters that are either in "CUT" or in "ROPE."

In "CUT," we have the letters C, U, and T. In "ROPE," we have R, O, P, and E.

So, the total number of favorable outcomes is 7 letters: C, U, T, R, O, P, and E.

Next, let's determine the total number of possible outcomes, which refers to the number of letters in the word "COMPUTER."

In "COMPUTER," we have 8 letters.

Therefore, the total number of possible outcomes is 8 letters.

Now, we can calculate the probability using the formula:

Probability = Number of Favorable Outcomes / Number of Possible Outcomes

Probability = 7 / 8

Probability = 0.875 (or 87.5%)

Hence, the probability that a randomly picked letter from the word "COMPUTER" is either in the word "CUT" or in the word "ROPE" is 0.875 or 87.5%.