A single letter from the word MILLENNIUM is chosen. What is the probability of choosing an I or a U? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Question
A single letter from the word MILLENNIUM is chosen. What is the probability of choosing an I or a U? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Solution
The word MILLENNIUM has 10 letters in total. There are 2 I's and 1 U in the word.
Step 1: Count the total number of letters in the word MILLENNIUM. There are 10 letters.
Step 2: Count the number of I's and U's in the word. There are 2 I's and 1 U, so there are 3 letters that are either I or U.
Step 3: The probability of an event is defined as the number of ways the event can occur divided by the total number of outcomes. In this case, the event is choosing an I or a U, and the total number of outcomes is the total number of letters in the word.
So, the probability of choosing an I or a U is 3 (number of I's and U's) divided by 10 (total number of letters), which simplifies to 0.3 or 3/10.
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