You mix the letters M, A, T, H, E, M, A, T, I, C, A, and L thoroughly. Without looking, you
draw one letter. Find the probability P(A). Write the probability as:
a. a fraction in simplest form
b. a decimal
c. a percent
Can somebody check my answers, Thanks
1. 1/4
2. 0.25
3. 25%
Right.
Thanks!
You're welcome.
To find the probability of drawing the letter "A" from a set of mixed letters, we need to determine the number of favorable outcomes and the total number of possible outcomes.
1. Determine the number of favorable outcomes:
In this case, there is only one favorable outcome, which is drawing the letter "A."
2. Determine the total number of possible outcomes:
Since there are twelve letters in total, the total number of possible outcomes is twelve.
Now, let's calculate the probability:
a. Fraction in simplest form:
The probability is given by the number of favorable outcomes divided by the total number of possible outcomes.
P(A) = favorable outcomes / total outcomes = 1 / 12
So, your answer 1. 1/4 is incorrect. The correct fraction is 1/12.
b. Decimal:
To convert the fraction to a decimal, divide the numerator (1) by the denominator (12).
P(A) = 1 / 12 = 0.0833...
So, your answer 2. 0.25 is incorrect. The correct decimal is approximately 0.0833...
c. Percent:
To convert the decimal to a percent, multiply it by 100.
P(A) ≈ 0.0833... * 100 ≈ 8.33...
So, your answer 3. 25% is incorrect. The correct percentage is approximately 8.33...%
In summary, the correct answers are:
a. 1/12
b. 0.0833...
c. approximately 8.33...%