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question 7 of 28 stacia randomly chooses a number from 1 to 10. what is…

Question

question 7 of 28
stacia randomly chooses a number from 1 to 10. what is the probability she
chooses a number less than 4?
a. (\frac{3}{10})
b. (\frac{4}{9})
c. (\frac{1}{3})
d. (\frac{2}{5})

Explanation:

Step1: Determine the total number of possible outcomes

Stacia is choosing a number from 1 to 10. So, the total number of possible outcomes \(n(S)=10\).

Step2: Determine the number of favorable outcomes

The numbers less than 4 from 1 - 10 are 1, 2, 3. So, the number of favorable outcomes \(n(E) = 3\).

Step3: Use the probability formula

The probability formula is \(P(E)=\frac{n(E)}{n(S)}\). Substituting the values, we get \(P(E)=\frac{3}{10}\).

Answer:

A. \(\frac{3}{10}\)